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Finding the Fourth Proportional to 208,964.48, 288,371.52 and 113,471.68

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Solution

The fourth proportional to 208,964.48, 288,371.52 and 113,471.68 is: 156,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,964.48 : 288,371.52 = 113,471.68 : x
  2. Step 2: Convert to fraction form
    208,964.48/288,371.52 = 113,471.68/x
  3. Step 3: Cross multiply
    208,964.48x = 288,371.52 × 113,471.68
  4. Step 4: Simplify right side
    208,964.48x = 32,722,000,838.55
  5. Step 5: Solve for x
    x = 32,722,000,838.55/208,964.48
  6. Step 6: Final answer
    x = 156,591.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.