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Finding the Fourth Proportional to 148,356.55, 204,731.78 and 80,375.24

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Solution

The fourth proportional to 148,356.55, 204,731.78 and 80,375.24 is: 110,917.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,356.55 : 204,731.78 = 80,375.24 : x
  2. Step 2: Convert to fraction form
    148,356.55/204,731.78 = 80,375.24/x
  3. Step 3: Cross multiply
    148,356.55x = 204,731.78 × 80,375.24
  4. Step 4: Simplify right side
    148,356.55x = 16,455,365,953.13
  5. Step 5: Solve for x
    x = 16,455,365,953.13/148,356.55
  6. Step 6: Final answer
    x = 110,917.69

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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.