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Finding the Fourth Proportional to 187,822.52, 281,733.78 and 113,795

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Solution

The fourth proportional to 187,822.52, 281,733.78 and 113,795 is: 170,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,822.52 : 281,733.78 = 113,795 : x
  2. Step 2: Convert to fraction form
    187,822.52/281,733.78 = 113,795/x
  3. Step 3: Cross multiply
    187,822.52x = 281,733.78 × 113,795
  4. Step 4: Simplify right side
    187,822.52x = 32,059,895,495.10
  5. Step 5: Solve for x
    x = 32,059,895,495.10/187,822.52
  6. Step 6: Final answer
    x = 170,692.50

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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.