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Finding the Fourth Proportional to 122,448.06, 168,934.86 and 80,031.06

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Solution

The fourth proportional to 122,448.06, 168,934.86 and 80,031.06 is: 110,414.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,448.06 : 168,934.86 = 80,031.06 : x
  2. Step 2: Convert to fraction form
    122,448.06/168,934.86 = 80,031.06/x
  3. Step 3: Cross multiply
    122,448.06x = 168,934.86 × 80,031.06
  4. Step 4: Simplify right side
    122,448.06x = 13,520,035,916.75
  5. Step 5: Solve for x
    x = 13,520,035,916.75/122,448.06
  6. Step 6: Final answer
    x = 110,414.46

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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.