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Finding the Fourth Proportional to 204,468, 282,191.76 and 115,061.28

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Solution

The fourth proportional to 204,468, 282,191.76 and 115,061.28 is: 158,799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,468 : 282,191.76 = 115,061.28 : x
  2. Step 2: Convert to fraction form
    204,468/282,191.76 = 115,061.28/x
  3. Step 3: Cross multiply
    204,468x = 282,191.76 × 115,061.28
  4. Step 4: Simplify right side
    204,468x = 32,469,345,111.05
  5. Step 5: Solve for x
    x = 32,469,345,111.05/204,468
  6. Step 6: Final answer
    x = 158,799.15

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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.