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Finding the Fourth Proportional to 138,719.20, 208,112.40 and 40,223.20

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Solution

The fourth proportional to 138,719.20, 208,112.40 and 40,223.20 is: 60,344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,719.20 : 208,112.40 = 40,223.20 : x
  2. Step 2: Convert to fraction form
    138,719.20/208,112.40 = 40,223.20/x
  3. Step 3: Cross multiply
    138,719.20x = 208,112.40 × 40,223.20
  4. Step 4: Simplify right side
    138,719.20x = 8,370,946,687.68
  5. Step 5: Solve for x
    x = 8,370,946,687.68/138,719.20
  6. Step 6: Final answer
    x = 60,344.54

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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.