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Finding the Fourth Proportional to 178,922.56, 268,366.56 and 54,264.64

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Solution

The fourth proportional to 178,922.56, 268,366.56 and 54,264.64 is: 81,391.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,922.56 : 268,366.56 = 54,264.64 : x
  2. Step 2: Convert to fraction form
    178,922.56/268,366.56 = 54,264.64/x
  3. Step 3: Cross multiply
    178,922.56x = 268,366.56 × 54,264.64
  4. Step 4: Simplify right side
    178,922.56x = 14,562,814,766.44
  5. Step 5: Solve for x
    x = 14,562,814,766.44/178,922.56
  6. Step 6: Final answer
    x = 81,391.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.