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Finding the Fourth Proportional to 107,314.80, 160,972.20 and 54,826.80

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Solution

The fourth proportional to 107,314.80, 160,972.20 and 54,826.80 is: 82,240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,314.80 : 160,972.20 = 54,826.80 : x
  2. Step 2: Convert to fraction form
    107,314.80/160,972.20 = 54,826.80/x
  3. Step 3: Cross multiply
    107,314.80x = 160,972.20 × 54,826.80
  4. Step 4: Simplify right side
    107,314.80x = 8,825,590,614.96
  5. Step 5: Solve for x
    x = 8,825,590,614.96/107,314.80
  6. Step 6: Final answer
    x = 82,240.20

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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.