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Finding the Fourth Proportional to 242,204.14, 363,308.25 and 84,432.30

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Solution

The fourth proportional to 242,204.14, 363,308.25 and 84,432.30 is: 126,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,204.14 : 363,308.25 = 84,432.30 : x
  2. Step 2: Convert to fraction form
    242,204.14/363,308.25 = 84,432.30/x
  3. Step 3: Cross multiply
    242,204.14x = 363,308.25 × 84,432.30
  4. Step 4: Simplify right side
    242,204.14x = 30,674,951,156.48
  5. Step 5: Solve for x
    x = 30,674,951,156.48/242,204.14
  6. Step 6: Final answer
    x = 126,649.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.