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Finding the Fourth Proportional to 122,193.40, 183,175.17 and 65,949.22

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Solution

The fourth proportional to 122,193.40, 183,175.17 and 65,949.22 is: 98,861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,193.40 : 183,175.17 = 65,949.22 : x
  2. Step 2: Convert to fraction form
    122,193.40/183,175.17 = 65,949.22/x
  3. Step 3: Cross multiply
    122,193.40x = 183,175.17 × 65,949.22
  4. Step 4: Simplify right side
    122,193.40x = 12,080,259,584.87
  5. Step 5: Solve for x
    x = 12,080,259,584.87/122,193.40
  6. Step 6: Final answer
    x = 98,861.80

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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.