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Finding the Fourth Proportional to 242,654.47, 363,982.60 and 74,174.14

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Solution

The fourth proportional to 242,654.47, 363,982.60 and 74,174.14 is: 111,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,654.47 : 363,982.60 = 74,174.14 : x
  2. Step 2: Convert to fraction form
    242,654.47/363,982.60 = 74,174.14/x
  3. Step 3: Cross multiply
    242,654.47x = 363,982.60 × 74,174.14
  4. Step 4: Simplify right side
    242,654.47x = 26,998,097,560.13
  5. Step 5: Solve for x
    x = 26,998,097,560.13/242,654.47
  6. Step 6: Final answer
    x = 111,261.49

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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.