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Finding the Fourth Proportional to 143,765.46, 215,546.10 and 54,944.10

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Solution

The fourth proportional to 143,765.46, 215,546.10 and 54,944.10 is: 82,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,765.46 : 215,546.10 = 54,944.10 : x
  2. Step 2: Convert to fraction form
    143,765.46/215,546.10 = 54,944.10/x
  3. Step 3: Cross multiply
    143,765.46x = 215,546.10 × 54,944.10
  4. Step 4: Simplify right side
    143,765.46x = 11,842,986,473.01
  5. Step 5: Solve for x
    x = 11,842,986,473.01/143,765.46
  6. Step 6: Final answer
    x = 82,377.13

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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.