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Finding the Fourth Proportional to 175,780.80, 263,541.60 and 75,859.20

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Solution

The fourth proportional to 175,780.80, 263,541.60 and 75,859.20 is: 113,732.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,780.80 : 263,541.60 = 75,859.20 : x
  2. Step 2: Convert to fraction form
    175,780.80/263,541.60 = 75,859.20/x
  3. Step 3: Cross multiply
    175,780.80x = 263,541.60 × 75,859.20
  4. Step 4: Simplify right side
    175,780.80x = 19,992,054,942.72
  5. Step 5: Solve for x
    x = 19,992,054,942.72/175,780.80
  6. Step 6: Final answer
    x = 113,732.87

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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.