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Finding the Fourth Proportional to 82,266.48, 122,697.84 and 80,844.92

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Solution

The fourth proportional to 82,266.48, 122,697.84 and 80,844.92 is: 120,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,266.48 : 122,697.84 = 80,844.92 : x
  2. Step 2: Convert to fraction form
    82,266.48/122,697.84 = 80,844.92/x
  3. Step 3: Cross multiply
    82,266.48x = 122,697.84 × 80,844.92
  4. Step 4: Simplify right side
    82,266.48x = 9,919,497,058.97
  5. Step 5: Solve for x
    x = 9,919,497,058.97/82,266.48
  6. Step 6: Final answer
    x = 120,577.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.