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Finding the Fourth Proportional to 97,843.80, 146,592.90 and 80,218.20

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Solution

The fourth proportional to 97,843.80, 146,592.90 and 80,218.20 is: 120,185.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,843.80 : 146,592.90 = 80,218.20 : x
  2. Step 2: Convert to fraction form
    97,843.80/146,592.90 = 80,218.20/x
  3. Step 3: Cross multiply
    97,843.80x = 146,592.90 × 80,218.20
  4. Step 4: Simplify right side
    97,843.80x = 11,759,418,570.78
  5. Step 5: Solve for x
    x = 11,759,418,570.78/97,843.80
  6. Step 6: Final answer
    x = 120,185.63

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1.5x scale

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.