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Finding the Fourth Proportional to 148,180.48, 204,494.88 and 81,112.48

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Solution

The fourth proportional to 148,180.48, 204,494.88 and 81,112.48 is: 111,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,180.48 : 204,494.88 = 81,112.48 : x
  2. Step 2: Convert to fraction form
    148,180.48/204,494.88 = 81,112.48/x
  3. Step 3: Cross multiply
    148,180.48x = 204,494.88 × 81,112.48
  4. Step 4: Simplify right side
    148,180.48x = 16,587,086,864.10
  5. Step 5: Solve for x
    x = 16,587,086,864.10/148,180.48
  6. Step 6: Final answer
    x = 111,938.41

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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.