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Finding the Fourth Proportional to 165,053, 227,772.58 and 89,600.96

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Solution

The fourth proportional to 165,053, 227,772.58 and 89,600.96 is: 123,649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,053 : 227,772.58 = 89,600.96 : x
  2. Step 2: Convert to fraction form
    165,053/227,772.58 = 89,600.96/x
  3. Step 3: Cross multiply
    165,053x = 227,772.58 × 89,600.96
  4. Step 4: Simplify right side
    165,053x = 20,408,641,829.68
  5. Step 5: Solve for x
    x = 20,408,641,829.68/165,053
  6. Step 6: Final answer
    x = 123,649.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.