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Finding the Fourth Proportional to 237,691.76, 356,574.12 and 77,717.36

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Solution

The fourth proportional to 237,691.76, 356,574.12 and 77,717.36 is: 116,587.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,691.76 : 356,574.12 = 77,717.36 : x
  2. Step 2: Convert to fraction form
    237,691.76/356,574.12 = 77,717.36/x
  3. Step 3: Cross multiply
    237,691.76x = 356,574.12 × 77,717.36
  4. Step 4: Simplify right side
    237,691.76x = 27,711,999,250.72
  5. Step 5: Solve for x
    x = 27,711,999,250.72/237,691.76
  6. Step 6: Final answer
    x = 116,587.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.