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Finding the Fourth Proportional to 242,298.68, 363,481.29 and 82,331.64

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Solution

The fourth proportional to 242,298.68, 363,481.29 and 82,331.64 is: 123,508.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,298.68 : 363,481.29 = 82,331.64 : x
  2. Step 2: Convert to fraction form
    242,298.68/363,481.29 = 82,331.64/x
  3. Step 3: Cross multiply
    242,298.68x = 363,481.29 × 82,331.64
  4. Step 4: Simplify right side
    242,298.68x = 29,926,010,715.02
  5. Step 5: Solve for x
    x = 29,926,010,715.02/242,298.68
  6. Step 6: Final answer
    x = 123,508.77

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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.