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Finding the Fourth Proportional to 178,884.73, 268,324.31 and 45,763.84

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Solution

The fourth proportional to 178,884.73, 268,324.31 and 45,763.84 is: 68,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,884.73 : 268,324.31 = 45,763.84 : x
  2. Step 2: Convert to fraction form
    178,884.73/268,324.31 = 45,763.84/x
  3. Step 3: Cross multiply
    178,884.73x = 268,324.31 × 45,763.84
  4. Step 4: Simplify right side
    178,884.73x = 12,279,550,562.13
  5. Step 5: Solve for x
    x = 12,279,550,562.13/178,884.73
  6. Step 6: Final answer
    x = 68,645.05

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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.