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Finding the Fourth Proportional to 206,267.44, 284,585.14 and 115,610.84

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Solution

The fourth proportional to 206,267.44, 284,585.14 and 115,610.84 is: 159,507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,267.44 : 284,585.14 = 115,610.84 : x
  2. Step 2: Convert to fraction form
    206,267.44/284,585.14 = 115,610.84/x
  3. Step 3: Cross multiply
    206,267.44x = 284,585.14 × 115,610.84
  4. Step 4: Simplify right side
    206,267.44x = 32,901,127,086.92
  5. Step 5: Solve for x
    x = 32,901,127,086.92/206,267.44
  6. Step 6: Final answer
    x = 159,507.13

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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.