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Finding the Fourth Proportional to 149,772.34, 224,700.42 and 49,997.74

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Solution

The fourth proportional to 149,772.34, 224,700.42 and 49,997.74 is: 75,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,772.34 : 224,700.42 = 49,997.74 : x
  2. Step 2: Convert to fraction form
    149,772.34/224,700.42 = 49,997.74/x
  3. Step 3: Cross multiply
    149,772.34x = 224,700.42 × 49,997.74
  4. Step 4: Simplify right side
    149,772.34x = 11,234,513,177.05
  5. Step 5: Solve for x
    x = 11,234,513,177.05/149,772.34
  6. Step 6: Final answer
    x = 75,010.60

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1.5x scale

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.