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Finding the Fourth Proportional to 206,455.68, 284,909.00 and 120,473.78

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Solution

The fourth proportional to 206,455.68, 284,909.00 and 120,473.78 is: 166,253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,455.68 : 284,909.00 = 120,473.78 : x
  2. Step 2: Convert to fraction form
    206,455.68/284,909.00 = 120,473.78/x
  3. Step 3: Cross multiply
    206,455.68x = 284,909.00 × 120,473.78
  4. Step 4: Simplify right side
    206,455.68x = 34,324,062,159.11
  5. Step 5: Solve for x
    x = 34,324,062,159.11/206,455.68
  6. Step 6: Final answer
    x = 166,253.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.