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Finding the Fourth Proportional to 160,083.68, 220,922.03 and 92,100.78

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Solution

The fourth proportional to 160,083.68, 220,922.03 and 92,100.78 is: 127,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,083.68 : 220,922.03 = 92,100.78 : x
  2. Step 2: Convert to fraction form
    160,083.68/220,922.03 = 92,100.78/x
  3. Step 3: Cross multiply
    160,083.68x = 220,922.03 × 92,100.78
  4. Step 4: Simplify right side
    160,083.68x = 20,347,091,512.44
  5. Step 5: Solve for x
    x = 20,347,091,512.44/160,083.68
  6. Step 6: Final answer
    x = 127,102.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.