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Finding the Fourth Proportional to 144,094.32, 198,826.38 and 80,432.10

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Solution

The fourth proportional to 144,094.32, 198,826.38 and 80,432.10 is: 110,983.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,094.32 : 198,826.38 = 80,432.10 : x
  2. Step 2: Convert to fraction form
    144,094.32/198,826.38 = 80,432.10/x
  3. Step 3: Cross multiply
    144,094.32x = 198,826.38 × 80,432.10
  4. Step 4: Simplify right side
    144,094.32x = 15,992,023,278.80
  5. Step 5: Solve for x
    x = 15,992,023,278.80/144,094.32
  6. Step 6: Final answer
    x = 110,983.02

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