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Finding the Fourth Proportional to 242,502.32, 363,753.54 and 74,023.61

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Solution

The fourth proportional to 242,502.32, 363,753.54 and 74,023.61 is: 111,035.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,502.32 : 363,753.54 = 74,023.61 : x
  2. Step 2: Convert to fraction form
    242,502.32/363,753.54 = 74,023.61/x
  3. Step 3: Cross multiply
    242,502.32x = 363,753.54 × 74,023.61
  4. Step 4: Simplify right side
    242,502.32x = 26,926,348,362.31
  5. Step 5: Solve for x
    x = 26,926,348,362.31/242,502.32
  6. Step 6: Final answer
    x = 111,035.43

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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.