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Finding the Fourth Proportional to 242,617.60, 363,937.20 and 82,691.20

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Solution

The fourth proportional to 242,617.60, 363,937.20 and 82,691.20 is: 124,040.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,617.60 : 363,937.20 = 82,691.20 : x
  2. Step 2: Convert to fraction form
    242,617.60/363,937.20 = 82,691.20/x
  3. Step 3: Cross multiply
    242,617.60x = 363,937.20 × 82,691.20
  4. Step 4: Simplify right side
    242,617.60x = 30,094,403,792.64
  5. Step 5: Solve for x
    x = 30,094,403,792.64/242,617.60
  6. Step 6: Final answer
    x = 124,040.48

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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.