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Finding the Fourth Proportional to 121,834.26, 182,792.88 and 65,679.80

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Solution

The fourth proportional to 121,834.26, 182,792.88 and 65,679.80 is: 98,542.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,834.26 : 182,792.88 = 65,679.80 : x
  2. Step 2: Convert to fraction form
    121,834.26/182,792.88 = 65,679.80/x
  3. Step 3: Cross multiply
    121,834.26x = 182,792.88 × 65,679.80
  4. Step 4: Simplify right side
    121,834.26x = 12,005,799,589.14
  5. Step 5: Solve for x
    x = 12,005,799,589.14/121,834.26
  6. Step 6: Final answer
    x = 98,542.06

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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.