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Finding the Fourth Proportional to 185,882.88, 278,823.76 and 52,763.25

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Solution

The fourth proportional to 185,882.88, 278,823.76 and 52,763.25 is: 79,144.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,882.88 : 278,823.76 = 52,763.25 : x
  2. Step 2: Convert to fraction form
    185,882.88/278,823.76 = 52,763.25/x
  3. Step 3: Cross multiply
    185,882.88x = 278,823.76 × 52,763.25
  4. Step 4: Simplify right side
    185,882.88x = 14,711,647,754.82
  5. Step 5: Solve for x
    x = 14,711,647,754.82/185,882.88
  6. Step 6: Final answer
    x = 79,144.72

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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.