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Finding the Fourth Proportional to 204,475.40, 282,169.14 and 115,034.12

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Solution

The fourth proportional to 204,475.40, 282,169.14 and 115,034.12 is: 158,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,475.40 : 282,169.14 = 115,034.12 : x
  2. Step 2: Convert to fraction form
    204,475.40/282,169.14 = 115,034.12/x
  3. Step 3: Cross multiply
    204,475.40x = 282,169.14 × 115,034.12
  4. Step 4: Simplify right side
    204,475.40x = 32,459,078,711.06
  5. Step 5: Solve for x
    x = 32,459,078,711.06/204,475.40
  6. Step 6: Final answer
    x = 158,743.20

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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.