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Finding the Fourth Proportional to 140,201.64, 193,471.52 and 79,766.64

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Solution

The fourth proportional to 140,201.64, 193,471.52 and 79,766.64 is: 110,074.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,201.64 : 193,471.52 = 79,766.64 : x
  2. Step 2: Convert to fraction form
    140,201.64/193,471.52 = 79,766.64/x
  3. Step 3: Cross multiply
    140,201.64x = 193,471.52 × 79,766.64
  4. Step 4: Simplify right side
    140,201.64x = 15,432,572,687.26
  5. Step 5: Solve for x
    x = 15,432,572,687.26/140,201.64
  6. Step 6: Final answer
    x = 110,074.12

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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.