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Finding the Fourth Proportional to 111,409.93, 167,170.02 and 52,250.14

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Solution

The fourth proportional to 111,409.93, 167,170.02 and 52,250.14 is: 78,401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,409.93 : 167,170.02 = 52,250.14 : x
  2. Step 2: Convert to fraction form
    111,409.93/167,170.02 = 52,250.14/x
  3. Step 3: Cross multiply
    111,409.93x = 167,170.02 × 52,250.14
  4. Step 4: Simplify right side
    111,409.93x = 8,734,656,948.80
  5. Step 5: Solve for x
    x = 8,734,656,948.80/111,409.93
  6. Step 6: Final answer
    x = 78,401.06

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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.