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Finding the Fourth Proportional to 119,705.32, 165,193.68 and 71,986

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Solution

The fourth proportional to 119,705.32, 165,193.68 and 71,986 is: 99,340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,705.32 : 165,193.68 = 71,986 : x
  2. Step 2: Convert to fraction form
    119,705.32/165,193.68 = 71,986/x
  3. Step 3: Cross multiply
    119,705.32x = 165,193.68 × 71,986
  4. Step 4: Simplify right side
    119,705.32x = 11,891,632,248.48
  5. Step 5: Solve for x
    x = 11,891,632,248.48/119,705.32
  6. Step 6: Final answer
    x = 99,340.88

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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.