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Finding the Fourth Proportional to 192,129.50, 265,195.02 and 111,593.24

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Solution

The fourth proportional to 192,129.50, 265,195.02 and 111,593.24 is: 154,031.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,129.50 : 265,195.02 = 111,593.24 : x
  2. Step 2: Convert to fraction form
    192,129.50/265,195.02 = 111,593.24/x
  3. Step 3: Cross multiply
    192,129.50x = 265,195.02 × 111,593.24
  4. Step 4: Simplify right side
    192,129.50x = 29,593,971,513.66
  5. Step 5: Solve for x
    x = 29,593,971,513.66/192,129.50
  6. Step 6: Final answer
    x = 154,031.38

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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.