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Finding the Fourth Proportional to 148,082.76, 204,354.34 and 81,014.76

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Solution

The fourth proportional to 148,082.76, 204,354.34 and 81,014.76 is: 111,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,082.76 : 204,354.34 = 81,014.76 : x
  2. Step 2: Convert to fraction form
    148,082.76/204,354.34 = 81,014.76/x
  3. Step 3: Cross multiply
    148,082.76x = 204,354.34 × 81,014.76
  4. Step 4: Simplify right side
    148,082.76x = 16,555,717,810.06
  5. Step 5: Solve for x
    x = 16,555,717,810.06/148,082.76
  6. Step 6: Final answer
    x = 111,800.44

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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.