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Finding the Fourth Proportional to 175,750.61, 263,584.24 and 75,856.24

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Solution

The fourth proportional to 175,750.61, 263,584.24 and 75,856.24 is: 113,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,750.61 : 263,584.24 = 75,856.24 : x
  2. Step 2: Convert to fraction form
    175,750.61/263,584.24 = 75,856.24/x
  3. Step 3: Cross multiply
    175,750.61x = 263,584.24 × 75,856.24
  4. Step 4: Simplify right side
    175,750.61x = 19,994,508,521.06
  5. Step 5: Solve for x
    x = 19,994,508,521.06/175,750.61
  6. Step 6: Final answer
    x = 113,766.37

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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.