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Finding the Fourth Proportional to 122,024.80, 168,715.52 and 106,874

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Solution

The fourth proportional to 122,024.80, 168,715.52 and 106,874 is: 147,767.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,024.80 : 168,715.52 = 106,874 : x
  2. Step 2: Convert to fraction form
    122,024.80/168,715.52 = 106,874/x
  3. Step 3: Cross multiply
    122,024.80x = 168,715.52 × 106,874
  4. Step 4: Simplify right side
    122,024.80x = 18,031,302,484.48
  5. Step 5: Solve for x
    x = 18,031,302,484.48/122,024.80
  6. Step 6: Final answer
    x = 147,767.52

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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.