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Finding the Fourth Proportional to 165,888,496.80, 248,832,745.20 and 113,932,375.20

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Solution

The fourth proportional to 165,888,496.80, 248,832,745.20 and 113,932,375.20 is: 170,898,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,888,496.80 : 248,832,745.20 = 113,932,375.20 : x
  2. Step 2: Convert to fraction form
    165,888,496.80/248,832,745.20 = 113,932,375.20/x
  3. Step 3: Cross multiply
    165,888,496.80x = 248,832,745.20 × 113,932,375.20
  4. Step 4: Simplify right side
    165,888,496.80x = 28,350,105,688,172,400
  5. Step 5: Solve for x
    x = 28,350,105,688,172,400/165,888,496.80
  6. Step 6: Final answer
    x = 170,898,562.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.