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Finding the Fourth Proportional to 173,872.80, 260,732.40 and 80,407.20

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Solution

The fourth proportional to 173,872.80, 260,732.40 and 80,407.20 is: 120,575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,872.80 : 260,732.40 = 80,407.20 : x
  2. Step 2: Convert to fraction form
    173,872.80/260,732.40 = 80,407.20/x
  3. Step 3: Cross multiply
    173,872.80x = 260,732.40 × 80,407.20
  4. Step 4: Simplify right side
    173,872.80x = 20,964,762,233.28
  5. Step 5: Solve for x
    x = 20,964,762,233.28/173,872.80
  6. Step 6: Final answer
    x = 120,575.28

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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.