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Finding the Fourth Proportional to 187,593.75, 281,443.34 and 75,352.77

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Solution

The fourth proportional to 187,593.75, 281,443.34 and 75,352.77 is: 113,050.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,593.75 : 281,443.34 = 75,352.77 : x
  2. Step 2: Convert to fraction form
    187,593.75/281,443.34 = 75,352.77/x
  3. Step 3: Cross multiply
    187,593.75x = 281,443.34 × 75,352.77
  4. Step 4: Simplify right side
    187,593.75x = 21,207,535,455.43
  5. Step 5: Solve for x
    x = 21,207,535,455.43/187,593.75
  6. Step 6: Final answer
    x = 113,050.33

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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.