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Finding the Fourth Proportional to 138,876.20, 208,022.70 and 115,548.20

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Solution

The fourth proportional to 138,876.20, 208,022.70 and 115,548.20 is: 173,079.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,876.20 : 208,022.70 = 115,548.20 : x
  2. Step 2: Convert to fraction form
    138,876.20/208,022.70 = 115,548.20/x
  3. Step 3: Cross multiply
    138,876.20x = 208,022.70 × 115,548.20
  4. Step 4: Simplify right side
    138,876.20x = 24,036,648,544.14
  5. Step 5: Solve for x
    x = 24,036,648,544.14/138,876.20
  6. Step 6: Final answer
    x = 173,079.68

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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.