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Finding the Fourth Proportional to 230,267.64, 345,373.17 and 61,801.20

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Solution

The fourth proportional to 230,267.64, 345,373.17 and 61,801.20 is: 92,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,267.64 : 345,373.17 = 61,801.20 : x
  2. Step 2: Convert to fraction form
    230,267.64/345,373.17 = 61,801.20/x
  3. Step 3: Cross multiply
    230,267.64x = 345,373.17 × 61,801.20
  4. Step 4: Simplify right side
    230,267.64x = 21,344,476,353.80
  5. Step 5: Solve for x
    x = 21,344,476,353.80/230,267.64
  6. Step 6: Final answer
    x = 92,694.21

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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.