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Finding the Fourth Proportional to 112,906.50, 155,805.69 and 65,175.22

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Solution

The fourth proportional to 112,906.50, 155,805.69 and 65,175.22 is: 89,938.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,906.50 : 155,805.69 = 65,175.22 : x
  2. Step 2: Convert to fraction form
    112,906.50/155,805.69 = 65,175.22/x
  3. Step 3: Cross multiply
    112,906.50x = 155,805.69 × 65,175.22
  4. Step 4: Simplify right side
    112,906.50x = 10,154,670,123.00
  5. Step 5: Solve for x
    x = 10,154,670,123.00/112,906.50
  6. Step 6: Final answer
    x = 89,938.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.