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Finding the Fourth Proportional to 83,183.80, 124,581.30 and 81,513.40

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Solution

The fourth proportional to 83,183.80, 124,581.30 and 81,513.40 is: 122,079.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,183.80 : 124,581.30 = 81,513.40 : x
  2. Step 2: Convert to fraction form
    83,183.80/124,581.30 = 81,513.40/x
  3. Step 3: Cross multiply
    83,183.80x = 124,581.30 × 81,513.40
  4. Step 4: Simplify right side
    83,183.80x = 10,155,045,339.42
  5. Step 5: Solve for x
    x = 10,155,045,339.42/83,183.80
  6. Step 6: Final answer
    x = 122,079.60

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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.