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Finding the Fourth Proportional to 106,847.71, 160,222.35 and 60,100.58

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Solution

The fourth proportional to 106,847.71, 160,222.35 and 60,100.58 is: 90,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,847.71 : 160,222.35 = 60,100.58 : x
  2. Step 2: Convert to fraction form
    106,847.71/160,222.35 = 60,100.58/x
  3. Step 3: Cross multiply
    106,847.71x = 160,222.35 × 60,100.58
  4. Step 4: Simplify right side
    106,847.71x = 9,629,456,789.90
  5. Step 5: Solve for x
    x = 9,629,456,789.90/106,847.71
  6. Step 6: Final answer
    x = 90,123.20

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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.