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Finding the Fourth Proportional to 119,591.34, 165,036.24 and 65,876.58

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Solution

The fourth proportional to 119,591.34, 165,036.24 and 65,876.58 is: 90,909.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,591.34 : 165,036.24 = 65,876.58 : x
  2. Step 2: Convert to fraction form
    119,591.34/165,036.24 = 65,876.58/x
  3. Step 3: Cross multiply
    119,591.34x = 165,036.24 × 65,876.58
  4. Step 4: Simplify right side
    119,591.34x = 10,872,023,067.26
  5. Step 5: Solve for x
    x = 10,872,023,067.26/119,591.34
  6. Step 6: Final answer
    x = 90,909.79

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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.