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Finding the Fourth Proportional to 131,306.40, 197,105.40 and 81,442.80

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Solution

The fourth proportional to 131,306.40, 197,105.40 and 81,442.80 is: 122,254.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,306.40 : 197,105.40 = 81,442.80 : x
  2. Step 2: Convert to fraction form
    131,306.40/197,105.40 = 81,442.80/x
  3. Step 3: Cross multiply
    131,306.40x = 197,105.40 × 81,442.80
  4. Step 4: Simplify right side
    131,306.40x = 16,052,815,671.12
  5. Step 5: Solve for x
    x = 16,052,815,671.12/131,306.40
  6. Step 6: Final answer
    x = 122,254.63

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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.