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Finding the Fourth Proportional to 154,056.70, 231,085.05 and 54,232.30

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Solution

The fourth proportional to 154,056.70, 231,085.05 and 54,232.30 is: 81,348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,056.70 : 231,085.05 = 54,232.30 : x
  2. Step 2: Convert to fraction form
    154,056.70/231,085.05 = 54,232.30/x
  3. Step 3: Cross multiply
    154,056.70x = 231,085.05 × 54,232.30
  4. Step 4: Simplify right side
    154,056.70x = 12,532,273,757.12
  5. Step 5: Solve for x
    x = 12,532,273,757.12/154,056.70
  6. Step 6: Final answer
    x = 81,348.45

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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.