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Finding the Fourth Proportional to 138,213.58, 207,297.24 and 38,383.87

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Solution

The fourth proportional to 138,213.58, 207,297.24 and 38,383.87 is: 57,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,213.58 : 207,297.24 = 38,383.87 : x
  2. Step 2: Convert to fraction form
    138,213.58/207,297.24 = 38,383.87/x
  3. Step 3: Cross multiply
    138,213.58x = 207,297.24 × 38,383.87
  4. Step 4: Simplify right side
    138,213.58x = 7,956,870,311.52
  5. Step 5: Solve for x
    x = 7,956,870,311.52/138,213.58
  6. Step 6: Final answer
    x = 57,569.38

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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.