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Finding the Fourth Proportional to 180,644.73, 270,981.11 and 54,275.10

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Solution

The fourth proportional to 180,644.73, 270,981.11 and 54,275.10 is: 81,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,644.73 : 270,981.11 = 54,275.10 : x
  2. Step 2: Convert to fraction form
    180,644.73/270,981.11 = 54,275.10/x
  3. Step 3: Cross multiply
    180,644.73x = 270,981.11 × 54,275.10
  4. Step 4: Simplify right side
    180,644.73x = 14,707,526,843.36
  5. Step 5: Solve for x
    x = 14,707,526,843.36/180,644.73
  6. Step 6: Final answer
    x = 81,416.86

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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.