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Finding the Fourth Proportional to 119,577.38, 165,024.27 and 65,862.38

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Solution

The fourth proportional to 119,577.38, 165,024.27 and 65,862.38 is: 90,894.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,577.38 : 165,024.27 = 65,862.38 : x
  2. Step 2: Convert to fraction form
    119,577.38/165,024.27 = 65,862.38/x
  3. Step 3: Cross multiply
    119,577.38x = 165,024.27 × 65,862.38
  4. Step 4: Simplify right side
    119,577.38x = 10,868,891,592.52
  5. Step 5: Solve for x
    x = 10,868,891,592.52/119,577.38
  6. Step 6: Final answer
    x = 90,894.21

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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.