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Finding the Fourth Proportional to 138,730.70, 208,096.05 and 123,956.30

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Solution

The fourth proportional to 138,730.70, 208,096.05 and 123,956.30 is: 185,934.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,730.70 : 208,096.05 = 123,956.30 : x
  2. Step 2: Convert to fraction form
    138,730.70/208,096.05 = 123,956.30/x
  3. Step 3: Cross multiply
    138,730.70x = 208,096.05 × 123,956.30
  4. Step 4: Simplify right side
    138,730.70x = 25,794,816,402.62
  5. Step 5: Solve for x
    x = 25,794,816,402.62/138,730.70
  6. Step 6: Final answer
    x = 185,934.45

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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.