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Finding the Fourth Proportional to 204,402.69, 282,071.30 and 113,758.29

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Solution

The fourth proportional to 204,402.69, 282,071.30 and 113,758.29 is: 156,983.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,402.69 : 282,071.30 = 113,758.29 : x
  2. Step 2: Convert to fraction form
    204,402.69/282,071.30 = 113,758.29/x
  3. Step 3: Cross multiply
    204,402.69x = 282,071.30 × 113,758.29
  4. Step 4: Simplify right side
    204,402.69x = 32,087,948,177.29
  5. Step 5: Solve for x
    x = 32,087,948,177.29/204,402.69
  6. Step 6: Final answer
    x = 156,983.98

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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.