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Finding the Fourth Proportional to 206,218.66, 284,592.90 and 115,603.73

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Solution

The fourth proportional to 206,218.66, 284,592.90 and 115,603.73 is: 159,539.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,218.66 : 284,592.90 = 115,603.73 : x
  2. Step 2: Convert to fraction form
    206,218.66/284,592.90 = 115,603.73/x
  3. Step 3: Cross multiply
    206,218.66x = 284,592.90 × 115,603.73
  4. Step 4: Simplify right side
    206,218.66x = 32,900,000,771.52
  5. Step 5: Solve for x
    x = 32,900,000,771.52/206,218.66
  6. Step 6: Final answer
    x = 159,539.40

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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.