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Finding the Fourth Proportional to 219,471.80, 329,183.75 and 148,848.10

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Solution

The fourth proportional to 219,471.80, 329,183.75 and 148,848.10 is: 223,255.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,471.80 : 329,183.75 = 148,848.10 : x
  2. Step 2: Convert to fraction form
    219,471.80/329,183.75 = 148,848.10/x
  3. Step 3: Cross multiply
    219,471.80x = 329,183.75 × 148,848.10
  4. Step 4: Simplify right side
    219,471.80x = 48,998,375,287.54
  5. Step 5: Solve for x
    x = 48,998,375,287.54/219,471.80
  6. Step 6: Final answer
    x = 223,255.91

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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.