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Finding the Fourth Proportional to 138,655.80, 207,983.70 and 133,212.60

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Solution

The fourth proportional to 138,655.80, 207,983.70 and 133,212.60 is: 199,818.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,655.80 : 207,983.70 = 133,212.60 : x
  2. Step 2: Convert to fraction form
    138,655.80/207,983.70 = 133,212.60/x
  3. Step 3: Cross multiply
    138,655.80x = 207,983.70 × 133,212.60
  4. Step 4: Simplify right side
    138,655.80x = 27,706,049,434.62
  5. Step 5: Solve for x
    x = 27,706,049,434.62/138,655.80
  6. Step 6: Final answer
    x = 199,818.90

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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.