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Finding the Fourth Proportional to 154,097.38, 231,219.38 and 106,785.28

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Solution

The fourth proportional to 154,097.38, 231,219.38 and 106,785.28 is: 160,228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,097.38 : 231,219.38 = 106,785.28 : x
  2. Step 2: Convert to fraction form
    154,097.38/231,219.38 = 106,785.28/x
  3. Step 3: Cross multiply
    154,097.38x = 231,219.38 × 106,785.28
  4. Step 4: Simplify right side
    154,097.38x = 24,690,825,122.75
  5. Step 5: Solve for x
    x = 24,690,825,122.75/154,097.38
  6. Step 6: Final answer
    x = 160,228.72

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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.