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Finding the Fourth Proportional to 242,104.34, 363,214.80 and 75,892.34

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Solution

The fourth proportional to 242,104.34, 363,214.80 and 75,892.34 is: 113,856.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,104.34 : 363,214.80 = 75,892.34 : x
  2. Step 2: Convert to fraction form
    242,104.34/363,214.80 = 75,892.34/x
  3. Step 3: Cross multiply
    242,104.34x = 363,214.80 × 75,892.34
  4. Step 4: Simplify right side
    242,104.34x = 27,565,219,278.56
  5. Step 5: Solve for x
    x = 27,565,219,278.56/242,104.34
  6. Step 6: Final answer
    x = 113,856.78

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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.