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Finding the Fourth Proportional to 154,512.80, 231,724.56 and 70,226

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Solution

The fourth proportional to 154,512.80, 231,724.56 and 70,226 is: 105,318.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,512.80 : 231,724.56 = 70,226 : x
  2. Step 2: Convert to fraction form
    154,512.80/231,724.56 = 70,226/x
  3. Step 3: Cross multiply
    154,512.80x = 231,724.56 × 70,226
  4. Step 4: Simplify right side
    154,512.80x = 16,273,088,950.56
  5. Step 5: Solve for x
    x = 16,273,088,950.56/154,512.80
  6. Step 6: Final answer
    x = 105,318.71

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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.