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Finding the Fourth Proportional to 242,086.17, 363,129.29 and 64,593.84

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Solution

The fourth proportional to 242,086.17, 363,129.29 and 64,593.84 is: 96,890.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,086.17 : 363,129.29 = 64,593.84 : x
  2. Step 2: Convert to fraction form
    242,086.17/363,129.29 = 64,593.84/x
  3. Step 3: Cross multiply
    242,086.17x = 363,129.29 × 64,593.84
  4. Step 4: Simplify right side
    242,086.17x = 23,455,915,257.57
  5. Step 5: Solve for x
    x = 23,455,915,257.57/242,086.17
  6. Step 6: Final answer
    x = 96,890.77

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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.