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Finding the Fourth Proportional to 96,614.20, 144,921.30 and 80,025.40

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Solution

The fourth proportional to 96,614.20, 144,921.30 and 80,025.40 is: 120,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,614.20 : 144,921.30 = 80,025.40 : x
  2. Step 2: Convert to fraction form
    96,614.20/144,921.30 = 80,025.40/x
  3. Step 3: Cross multiply
    96,614.20x = 144,921.30 × 80,025.40
  4. Step 4: Simplify right side
    96,614.20x = 11,597,385,001.02
  5. Step 5: Solve for x
    x = 11,597,385,001.02/96,614.20
  6. Step 6: Final answer
    x = 120,038.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.