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Finding the Fourth Proportional to 206,119.23, 284,379.98 and 115,462.95

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Solution

The fourth proportional to 206,119.23, 284,379.98 and 115,462.95 is: 159,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,119.23 : 284,379.98 = 115,462.95 : x
  2. Step 2: Convert to fraction form
    206,119.23/284,379.98 = 115,462.95/x
  3. Step 3: Cross multiply
    206,119.23x = 284,379.98 × 115,462.95
  4. Step 4: Simplify right side
    206,119.23x = 32,835,350,834.43
  5. Step 5: Solve for x
    x = 32,835,350,834.43/206,119.23
  6. Step 6: Final answer
    x = 159,302.70

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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.