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Finding the Fourth Proportional to 148,098.24, 204,375.36 and 81,030.24

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Solution

The fourth proportional to 148,098.24, 204,375.36 and 81,030.24 is: 111,821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,098.24 : 204,375.36 = 81,030.24 : x
  2. Step 2: Convert to fraction form
    148,098.24/204,375.36 = 81,030.24/x
  3. Step 3: Cross multiply
    148,098.24x = 204,375.36 × 81,030.24
  4. Step 4: Simplify right side
    148,098.24x = 16,560,584,470.89
  5. Step 5: Solve for x
    x = 16,560,584,470.89/148,098.24
  6. Step 6: Final answer
    x = 111,821.62

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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.