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Finding the Fourth Proportional to 215,049.53, 322,508.69 and 57,257.48

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Solution

The fourth proportional to 215,049.53, 322,508.69 and 57,257.48 is: 85,868.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,049.53 : 322,508.69 = 57,257.48 : x
  2. Step 2: Convert to fraction form
    215,049.53/322,508.69 = 57,257.48/x
  3. Step 3: Cross multiply
    215,049.53x = 322,508.69 × 57,257.48
  4. Step 4: Simplify right side
    215,049.53x = 18,466,035,602.20
  5. Step 5: Solve for x
    x = 18,466,035,602.20/215,049.53
  6. Step 6: Final answer
    x = 85,868.75

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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.