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Finding the Fourth Proportional to 107,216.52, 160,825.20 and 44,843.28

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Solution

The fourth proportional to 107,216.52, 160,825.20 and 44,843.28 is: 67,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,216.52 : 160,825.20 = 44,843.28 : x
  2. Step 2: Convert to fraction form
    107,216.52/160,825.20 = 44,843.28/x
  3. Step 3: Cross multiply
    107,216.52x = 160,825.20 × 44,843.28
  4. Step 4: Simplify right side
    107,216.52x = 7,211,929,474.66
  5. Step 5: Solve for x
    x = 7,211,929,474.66/107,216.52
  6. Step 6: Final answer
    x = 67,265.10

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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.