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Finding the Fourth Proportional to 165,107.38, 227,848.32 and 93,487.52

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Solution

The fourth proportional to 165,107.38, 227,848.32 and 93,487.52 is: 129,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,107.38 : 227,848.32 = 93,487.52 : x
  2. Step 2: Convert to fraction form
    165,107.38/227,848.32 = 93,487.52/x
  3. Step 3: Cross multiply
    165,107.38x = 227,848.32 × 93,487.52
  4. Step 4: Simplify right side
    165,107.38x = 21,300,974,372.97
  5. Step 5: Solve for x
    x = 21,300,974,372.97/165,107.38
  6. Step 6: Final answer
    x = 129,012.85

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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.