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Finding the Fourth Proportional to 267,560.68, 369,237.90 and 146,713

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Solution

The fourth proportional to 267,560.68, 369,237.90 and 146,713 is: 202,466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,560.68 : 369,237.90 = 146,713 : x
  2. Step 2: Convert to fraction form
    267,560.68/369,237.90 = 146,713/x
  3. Step 3: Cross multiply
    267,560.68x = 369,237.90 × 146,713
  4. Step 4: Simplify right side
    267,560.68x = 54,172,000,022.70
  5. Step 5: Solve for x
    x = 54,172,000,022.70/267,560.68
  6. Step 6: Final answer
    x = 202,466.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.