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Finding the Fourth Proportional to 122,574.26, 169,223.38 and 80,206.61

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Solution

The fourth proportional to 122,574.26, 169,223.38 and 80,206.61 is: 110,731.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,574.26 : 169,223.38 = 80,206.61 : x
  2. Step 2: Convert to fraction form
    122,574.26/169,223.38 = 80,206.61/x
  3. Step 3: Cross multiply
    122,574.26x = 169,223.38 × 80,206.61
  4. Step 4: Simplify right side
    122,574.26x = 13,572,832,595.91
  5. Step 5: Solve for x
    x = 13,572,832,595.91/122,574.26
  6. Step 6: Final answer
    x = 110,731.51

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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.