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Finding the Fourth Proportional to 198,856.63, 274,422.19 and 109,432.63

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Solution

The fourth proportional to 198,856.63, 274,422.19 and 109,432.63 is: 151,017.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,856.63 : 274,422.19 = 109,432.63 : x
  2. Step 2: Convert to fraction form
    198,856.63/274,422.19 = 109,432.63/x
  3. Step 3: Cross multiply
    198,856.63x = 274,422.19 × 109,432.63
  4. Step 4: Simplify right side
    198,856.63x = 30,030,741,982.06
  5. Step 5: Solve for x
    x = 30,030,741,982.06/198,856.63
  6. Step 6: Final answer
    x = 151,017.05

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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.