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Finding the Fourth Proportional to 138,953.68, 207,932.27 and 120,297.89

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Solution

The fourth proportional to 138,953.68, 207,932.27 and 120,297.89 is: 180,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,953.68 : 207,932.27 = 120,297.89 : x
  2. Step 2: Convert to fraction form
    138,953.68/207,932.27 = 120,297.89/x
  3. Step 3: Cross multiply
    138,953.68x = 207,932.27 × 120,297.89
  4. Step 4: Simplify right side
    138,953.68x = 25,013,813,262.25
  5. Step 5: Solve for x
    x = 25,013,813,262.25/138,953.68
  6. Step 6: Final answer
    x = 180,015.48

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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.