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Finding the Fourth Proportional to 107,323.20, 160,984.80 and 82,488.60

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Solution

The fourth proportional to 107,323.20, 160,984.80 and 82,488.60 is: 123,732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,323.20 : 160,984.80 = 82,488.60 : x
  2. Step 2: Convert to fraction form
    107,323.20/160,984.80 = 82,488.60/x
  3. Step 3: Cross multiply
    107,323.20x = 160,984.80 × 82,488.60
  4. Step 4: Simplify right side
    107,323.20x = 13,279,410,773.28
  5. Step 5: Solve for x
    x = 13,279,410,773.28/107,323.20
  6. Step 6: Final answer
    x = 123,732.90

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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.