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Finding the Fourth Proportional to 121,829.20, 182,500.80 and 107,216.80

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Solution

The fourth proportional to 121,829.20, 182,500.80 and 107,216.80 is: 160,611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,829.20 : 182,500.80 = 107,216.80 : x
  2. Step 2: Convert to fraction form
    121,829.20/182,500.80 = 107,216.80/x
  3. Step 3: Cross multiply
    121,829.20x = 182,500.80 × 107,216.80
  4. Step 4: Simplify right side
    121,829.20x = 19,567,151,773.44
  5. Step 5: Solve for x
    x = 19,567,151,773.44/121,829.20
  6. Step 6: Final answer
    x = 160,611.35

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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.