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Finding the Fourth Proportional to 80,151, 120,254.12 and 35,808.36

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Solution

The fourth proportional to 80,151, 120,254.12 and 35,808.36 is: 53,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,151 : 120,254.12 = 35,808.36 : x
  2. Step 2: Convert to fraction form
    80,151/120,254.12 = 35,808.36/x
  3. Step 3: Cross multiply
    80,151x = 120,254.12 × 35,808.36
  4. Step 4: Simplify right side
    80,151x = 4,306,102,820.44
  5. Step 5: Solve for x
    x = 4,306,102,820.44/80,151
  6. Step 6: Final answer
    x = 53,724.88

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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.