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Finding the Fourth Proportional to 136,500.80, 205,058.40 and 131,278.40

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Solution

The fourth proportional to 136,500.80, 205,058.40 and 131,278.40 is: 197,213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,500.80 : 205,058.40 = 131,278.40 : x
  2. Step 2: Convert to fraction form
    136,500.80/205,058.40 = 131,278.40/x
  3. Step 3: Cross multiply
    136,500.80x = 205,058.40 × 131,278.40
  4. Step 4: Simplify right side
    136,500.80x = 26,919,738,658.56
  5. Step 5: Solve for x
    x = 26,919,738,658.56/136,500.80
  6. Step 6: Final answer
    x = 197,213.05

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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.