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Finding the Fourth Proportional to 208,516.20, 287,752.97 and 113,023.27

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Solution

The fourth proportional to 208,516.20, 287,752.97 and 113,023.27 is: 155,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,516.20 : 287,752.97 = 113,023.27 : x
  2. Step 2: Convert to fraction form
    208,516.20/287,752.97 = 113,023.27/x
  3. Step 3: Cross multiply
    208,516.20x = 287,752.97 × 113,023.27
  4. Step 4: Simplify right side
    208,516.20x = 32,522,781,621.61
  5. Step 5: Solve for x
    x = 32,522,781,621.61/208,516.20
  6. Step 6: Final answer
    x = 155,972.45

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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.