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Finding the Fourth Proportional to 231,507.20, 347,260.80 and 137,028.80

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Solution

The fourth proportional to 231,507.20, 347,260.80 and 137,028.80 is: 205,543.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,507.20 : 347,260.80 = 137,028.80 : x
  2. Step 2: Convert to fraction form
    231,507.20/347,260.80 = 137,028.80/x
  3. Step 3: Cross multiply
    231,507.20x = 347,260.80 × 137,028.80
  4. Step 4: Simplify right side
    231,507.20x = 47,584,730,711.04
  5. Step 5: Solve for x
    x = 47,584,730,711.04/231,507.20
  6. Step 6: Final answer
    x = 205,543.20

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1.5x scale

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.