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Finding the Fourth Proportional to 220,719.20, 331,251.60 and 102,405.20

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Solution

The fourth proportional to 220,719.20, 331,251.60 and 102,405.20 is: 153,687.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,719.20 : 331,251.60 = 102,405.20 : x
  2. Step 2: Convert to fraction form
    220,719.20/331,251.60 = 102,405.20/x
  3. Step 3: Cross multiply
    220,719.20x = 331,251.60 × 102,405.20
  4. Step 4: Simplify right side
    220,719.20x = 33,921,886,348.32
  5. Step 5: Solve for x
    x = 33,921,886,348.32/220,719.20
  6. Step 6: Final answer
    x = 153,687.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.