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Finding the Fourth Proportional to 99,253.94, 148,865.22 and 82,494.54

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Solution

The fourth proportional to 99,253.94, 148,865.22 and 82,494.54 is: 123,728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,253.94 : 148,865.22 = 82,494.54 : x
  2. Step 2: Convert to fraction form
    99,253.94/148,865.22 = 82,494.54/x
  3. Step 3: Cross multiply
    99,253.94x = 148,865.22 × 82,494.54
  4. Step 4: Simplify right side
    99,253.94x = 12,280,567,845.90
  5. Step 5: Solve for x
    x = 12,280,567,845.90/99,253.94
  6. Step 6: Final answer
    x = 123,728.78

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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.