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Finding the Fourth Proportional to 154,116.75, 231,193.80 and 54,256.50

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Solution

The fourth proportional to 154,116.75, 231,193.80 and 54,256.50 is: 81,391.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,116.75 : 231,193.80 = 54,256.50 : x
  2. Step 2: Convert to fraction form
    154,116.75/231,193.80 = 54,256.50/x
  3. Step 3: Cross multiply
    154,116.75x = 231,193.80 × 54,256.50
  4. Step 4: Simplify right side
    154,116.75x = 12,543,766,409.70
  5. Step 5: Solve for x
    x = 12,543,766,409.70/154,116.75
  6. Step 6: Final answer
    x = 81,391.32

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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.