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Finding the Fourth Proportional to 242,294.60, 363,101.68 and 206,571.16

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Solution

The fourth proportional to 242,294.60, 363,101.68 and 206,571.16 is: 309,566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,294.60 : 363,101.68 = 206,571.16 : x
  2. Step 2: Convert to fraction form
    242,294.60/363,101.68 = 206,571.16/x
  3. Step 3: Cross multiply
    242,294.60x = 363,101.68 × 206,571.16
  4. Step 4: Simplify right side
    242,294.60x = 75,006,335,235.55
  5. Step 5: Solve for x
    x = 75,006,335,235.55/242,294.60
  6. Step 6: Final answer
    x = 309,566.68

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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.