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Finding the Fourth Proportional to 119,714, 165,086.96 and 101,614.15

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Solution

The fourth proportional to 119,714, 165,086.96 and 101,614.15 is: 140,127.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,714 : 165,086.96 = 101,614.15 : x
  2. Step 2: Convert to fraction form
    119,714/165,086.96 = 101,614.15/x
  3. Step 3: Cross multiply
    119,714x = 165,086.96 × 101,614.15
  4. Step 4: Simplify right side
    119,714x = 16,775,171,116.48
  5. Step 5: Solve for x
    x = 16,775,171,116.48/119,714
  6. Step 6: Final answer
    x = 140,127.06

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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.