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Finding the Fourth Proportional to 154,527.76, 231,797.28 and 54,698.50

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Solution

The fourth proportional to 154,527.76, 231,797.28 and 54,698.50 is: 82,049.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,527.76 : 231,797.28 = 54,698.50 : x
  2. Step 2: Convert to fraction form
    154,527.76/231,797.28 = 54,698.50/x
  3. Step 3: Cross multiply
    154,527.76x = 231,797.28 × 54,698.50
  4. Step 4: Simplify right side
    154,527.76x = 12,678,963,520.08
  5. Step 5: Solve for x
    x = 12,678,963,520.08/154,527.76
  6. Step 6: Final answer
    x = 82,049.75

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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.