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Finding the Fourth Proportional to 119,569.31, 165,013.14 and 65,854.31

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Solution

The fourth proportional to 119,569.31, 165,013.14 and 65,854.31 is: 90,883.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,569.31 : 165,013.14 = 65,854.31 : x
  2. Step 2: Convert to fraction form
    119,569.31/165,013.14 = 65,854.31/x
  3. Step 3: Cross multiply
    119,569.31x = 165,013.14 × 65,854.31
  4. Step 4: Simplify right side
    119,569.31x = 10,866,826,641.21
  5. Step 5: Solve for x
    x = 10,866,826,641.21/119,569.31
  6. Step 6: Final answer
    x = 90,883.08

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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.