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Finding the Fourth Proportional to 224,242.52, 335,983.14 and 135,309.15

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Solution

The fourth proportional to 224,242.52, 335,983.14 and 135,309.15 is: 202,734.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,242.52 : 335,983.14 = 135,309.15 : x
  2. Step 2: Convert to fraction form
    224,242.52/335,983.14 = 135,309.15/x
  3. Step 3: Cross multiply
    224,242.52x = 335,983.14 × 135,309.15
  4. Step 4: Simplify right side
    224,242.52x = 45,461,593,087.73
  5. Step 5: Solve for x
    x = 45,461,593,087.73/224,242.52
  6. Step 6: Final answer
    x = 202,734.05

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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.