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Finding the Fourth Proportional to 224,597.97, 337,344.08 and 140,507.01

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Solution

The fourth proportional to 224,597.97, 337,344.08 and 140,507.01 is: 211,040.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,597.97 : 337,344.08 = 140,507.01 : x
  2. Step 2: Convert to fraction form
    224,597.97/337,344.08 = 140,507.01/x
  3. Step 3: Cross multiply
    224,597.97x = 337,344.08 × 140,507.01
  4. Step 4: Simplify right side
    224,597.97x = 47,399,207,319.47
  5. Step 5: Solve for x
    x = 47,399,207,319.47/224,597.97
  6. Step 6: Final answer
    x = 211,040.23

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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.