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Finding the Fourth Proportional to 147,898.56, 204,100.02 and 80,830.56

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Solution

The fourth proportional to 147,898.56, 204,100.02 and 80,830.56 is: 111,546.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,898.56 : 204,100.02 = 80,830.56 : x
  2. Step 2: Convert to fraction form
    147,898.56/204,100.02 = 80,830.56/x
  3. Step 3: Cross multiply
    147,898.56x = 204,100.02 × 80,830.56
  4. Step 4: Simplify right side
    147,898.56x = 16,497,518,912.61
  5. Step 5: Solve for x
    x = 16,497,518,912.61/147,898.56
  6. Step 6: Final answer
    x = 111,546.18

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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.