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Finding the Fourth Proportional to 204,390.17, 282,071.68 and 113,745.85

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Solution

The fourth proportional to 204,390.17, 282,071.68 and 113,745.85 is: 156,976.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,390.17 : 282,071.68 = 113,745.85 : x
  2. Step 2: Convert to fraction form
    204,390.17/282,071.68 = 113,745.85/x
  3. Step 3: Cross multiply
    204,390.17x = 282,071.68 × 113,745.85
  4. Step 4: Simplify right side
    204,390.17x = 32,084,484,239.46
  5. Step 5: Solve for x
    x = 32,084,484,239.46/204,390.17
  6. Step 6: Final answer
    x = 156,976.65

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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.