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Finding the Fourth Proportional to 83,209.67, 124,814.50 and 75,992.57

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Solution

The fourth proportional to 83,209.67, 124,814.50 and 75,992.57 is: 113,988.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,209.67 : 124,814.50 = 75,992.57 : x
  2. Step 2: Convert to fraction form
    83,209.67/124,814.50 = 75,992.57/x
  3. Step 3: Cross multiply
    83,209.67x = 124,814.50 × 75,992.57
  4. Step 4: Simplify right side
    83,209.67x = 9,484,974,628.27
  5. Step 5: Solve for x
    x = 9,484,974,628.27/83,209.67
  6. Step 6: Final answer
    x = 113,988.85

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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.