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Finding the Fourth Proportional to 81,971.20, 122,956.80 and 73,676.80

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Solution

The fourth proportional to 81,971.20, 122,956.80 and 73,676.80 is: 110,515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,971.20 : 122,956.80 = 73,676.80 : x
  2. Step 2: Convert to fraction form
    81,971.20/122,956.80 = 73,676.80/x
  3. Step 3: Cross multiply
    81,971.20x = 122,956.80 × 73,676.80
  4. Step 4: Simplify right side
    81,971.20x = 9,059,063,562.24
  5. Step 5: Solve for x
    x = 9,059,063,562.24/81,971.20
  6. Step 6: Final answer
    x = 110,515.20

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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.