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Finding the Fourth Proportional to 208,769.73, 288,101.27 and 113,276.19

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Solution

The fourth proportional to 208,769.73, 288,101.27 and 113,276.19 is: 156,320.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,769.73 : 288,101.27 = 113,276.19 : x
  2. Step 2: Convert to fraction form
    208,769.73/288,101.27 = 113,276.19/x
  3. Step 3: Cross multiply
    208,769.73x = 288,101.27 × 113,276.19
  4. Step 4: Simplify right side
    208,769.73x = 32,635,013,633.38
  5. Step 5: Solve for x
    x = 32,635,013,633.38/208,769.73
  6. Step 6: Final answer
    x = 156,320.62

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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.