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Finding the Fourth Proportional to 82,112.40, 123,217.20 and 54,113.40

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Solution

The fourth proportional to 82,112.40, 123,217.20 and 54,113.40 is: 81,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,112.40 : 123,217.20 = 54,113.40 : x
  2. Step 2: Convert to fraction form
    82,112.40/123,217.20 = 54,113.40/x
  3. Step 3: Cross multiply
    82,112.40x = 123,217.20 × 54,113.40
  4. Step 4: Simplify right side
    82,112.40x = 6,667,701,630.48
  5. Step 5: Solve for x
    x = 6,667,701,630.48/82,112.40
  6. Step 6: Final answer
    x = 81,202.13

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1.5x scale

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.