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Finding the Fourth Proportional to 215,462.28, 323,215.49 and 82,454.40

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Solution

The fourth proportional to 215,462.28, 323,215.49 and 82,454.40 is: 123,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,462.28 : 323,215.49 = 82,454.40 : x
  2. Step 2: Convert to fraction form
    215,462.28/323,215.49 = 82,454.40/x
  3. Step 3: Cross multiply
    215,462.28x = 323,215.49 × 82,454.40
  4. Step 4: Simplify right side
    215,462.28x = 26,650,540,407.65
  5. Step 5: Solve for x
    x = 26,650,540,407.65/215,462.28
  6. Step 6: Final answer
    x = 123,690.05

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