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Finding the Fourth Proportional to 154,310.43, 231,484.14 and 54,450

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Solution

The fourth proportional to 154,310.43, 231,484.14 and 54,450 is: 81,681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,310.43 : 231,484.14 = 54,450 : x
  2. Step 2: Convert to fraction form
    154,310.43/231,484.14 = 54,450/x
  3. Step 3: Cross multiply
    154,310.43x = 231,484.14 × 54,450
  4. Step 4: Simplify right side
    154,310.43x = 12,604,311,423
  5. Step 5: Solve for x
    x = 12,604,311,423/154,310.43
  6. Step 6: Final answer
    x = 81,681.53

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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.