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Finding the Fourth Proportional to 149,762.74, 224,568.99 and 49,887.82

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Solution

The fourth proportional to 149,762.74, 224,568.99 and 49,887.82 is: 74,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,762.74 : 224,568.99 = 49,887.82 : x
  2. Step 2: Convert to fraction form
    149,762.74/224,568.99 = 49,887.82/x
  3. Step 3: Cross multiply
    149,762.74x = 224,568.99 × 49,887.82
  4. Step 4: Simplify right side
    149,762.74x = 11,203,257,350.70
  5. Step 5: Solve for x
    x = 11,203,257,350.70/149,762.74
  6. Step 6: Final answer
    x = 74,806.71

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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.