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Finding the Fourth Proportional to 106,959.60, 160,439.40 and 88,297.20

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Solution

The fourth proportional to 106,959.60, 160,439.40 and 88,297.20 is: 132,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,959.60 : 160,439.40 = 88,297.20 : x
  2. Step 2: Convert to fraction form
    106,959.60/160,439.40 = 88,297.20/x
  3. Step 3: Cross multiply
    106,959.60x = 160,439.40 × 88,297.20
  4. Step 4: Simplify right side
    106,959.60x = 14,166,349,789.68
  5. Step 5: Solve for x
    x = 14,166,349,789.68/106,959.60
  6. Step 6: Final answer
    x = 132,445.80

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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.