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Finding the Fourth Proportional to 107,321.40, 160,847.70 and 54,751.80

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Solution

The fourth proportional to 107,321.40, 160,847.70 and 54,751.80 is: 82,059.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,321.40 : 160,847.70 = 54,751.80 : x
  2. Step 2: Convert to fraction form
    107,321.40/160,847.70 = 54,751.80/x
  3. Step 3: Cross multiply
    107,321.40x = 160,847.70 × 54,751.80
  4. Step 4: Simplify right side
    107,321.40x = 8,806,701,100.86
  5. Step 5: Solve for x
    x = 8,806,701,100.86/107,321.40
  6. Step 6: Final answer
    x = 82,059.13

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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.