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Finding the Fourth Proportional to 120,734.20, 181,101.14 and 45,854.20

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Solution

The fourth proportional to 120,734.20, 181,101.14 and 45,854.20 is: 68,781.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,734.20 : 181,101.14 = 45,854.20 : x
  2. Step 2: Convert to fraction form
    120,734.20/181,101.14 = 45,854.20/x
  3. Step 3: Cross multiply
    120,734.20x = 181,101.14 × 45,854.20
  4. Step 4: Simplify right side
    120,734.20x = 8,304,248,191.81
  5. Step 5: Solve for x
    x = 8,304,248,191.81/120,734.20
  6. Step 6: Final answer
    x = 68,781.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.