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Finding the Fourth Proportional to 149,494.60, 224,252.70 and 49,724.20

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Solution

The fourth proportional to 149,494.60, 224,252.70 and 49,724.20 is: 74,589.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,494.60 : 224,252.70 = 49,724.20 : x
  2. Step 2: Convert to fraction form
    149,494.60/224,252.70 = 49,724.20/x
  3. Step 3: Cross multiply
    149,494.60x = 224,252.70 × 49,724.20
  4. Step 4: Simplify right side
    149,494.60x = 11,150,786,105.34
  5. Step 5: Solve for x
    x = 11,150,786,105.34/149,494.60
  6. Step 6: Final answer
    x = 74,589.89

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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.