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Finding the Fourth Proportional to 206,263.58, 284,661.15 and 115,618.10

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Solution

The fourth proportional to 206,263.58, 284,661.15 and 115,618.10 is: 159,562.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,263.58 : 284,661.15 = 115,618.10 : x
  2. Step 2: Convert to fraction form
    206,263.58/284,661.15 = 115,618.10/x
  3. Step 3: Cross multiply
    206,263.58x = 284,661.15 × 115,618.10
  4. Step 4: Simplify right side
    206,263.58x = 32,911,981,306.82
  5. Step 5: Solve for x
    x = 32,911,981,306.82/206,263.58
  6. Step 6: Final answer
    x = 159,562.74

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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.