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Finding the Fourth Proportional to 266,432.28, 367,672.26 and 145,571

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Solution

The fourth proportional to 266,432.28, 367,672.26 and 145,571 is: 200,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,432.28 : 367,672.26 = 145,571 : x
  2. Step 2: Convert to fraction form
    266,432.28/367,672.26 = 145,571/x
  3. Step 3: Cross multiply
    266,432.28x = 367,672.26 × 145,571
  4. Step 4: Simplify right side
    266,432.28x = 53,522,418,560.46
  5. Step 5: Solve for x
    x = 53,522,418,560.46/266,432.28
  6. Step 6: Final answer
    x = 200,885.64

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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.