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Finding the Fourth Proportional to 165,222.90, 247,843.80 and 46,884.96

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Solution

The fourth proportional to 165,222.90, 247,843.80 and 46,884.96 is: 70,330.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,222.90 : 247,843.80 = 46,884.96 : x
  2. Step 2: Convert to fraction form
    165,222.90/247,843.80 = 46,884.96/x
  3. Step 3: Cross multiply
    165,222.90x = 247,843.80 × 46,884.96
  4. Step 4: Simplify right side
    165,222.90x = 11,620,146,649.25
  5. Step 5: Solve for x
    x = 11,620,146,649.25/165,222.90
  6. Step 6: Final answer
    x = 70,330.12

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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.