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Finding the Fourth Proportional to 121,019.20, 181,269.60 and 97,691.20

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Solution

The fourth proportional to 121,019.20, 181,269.60 and 97,691.20 is: 146,327.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,019.20 : 181,269.60 = 97,691.20 : x
  2. Step 2: Convert to fraction form
    121,019.20/181,269.60 = 97,691.20/x
  3. Step 3: Cross multiply
    121,019.20x = 181,269.60 × 97,691.20
  4. Step 4: Simplify right side
    121,019.20x = 17,708,444,747.52
  5. Step 5: Solve for x
    x = 17,708,444,747.52/121,019.20
  6. Step 6: Final answer
    x = 146,327.56

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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.