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Finding the Fourth Proportional to 232,158.80, 347,719.80 and 138,846.80

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Solution

The fourth proportional to 232,158.80, 347,719.80 and 138,846.80 is: 207,960.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,158.80 : 347,719.80 = 138,846.80 : x
  2. Step 2: Convert to fraction form
    232,158.80/347,719.80 = 138,846.80/x
  3. Step 3: Cross multiply
    232,158.80x = 347,719.80 × 138,846.80
  4. Step 4: Simplify right side
    232,158.80x = 48,279,781,526.64
  5. Step 5: Solve for x
    x = 48,279,781,526.64/232,158.80
  6. Step 6: Final answer
    x = 207,960.16

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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.