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Finding the Fourth Proportional to 187,820.52, 281,730.78 and 113,793

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Solution

The fourth proportional to 187,820.52, 281,730.78 and 113,793 is: 170,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,820.52 : 281,730.78 = 113,793 : x
  2. Step 2: Convert to fraction form
    187,820.52/281,730.78 = 113,793/x
  3. Step 3: Cross multiply
    187,820.52x = 281,730.78 × 113,793
  4. Step 4: Simplify right side
    187,820.52x = 32,058,990,648.54
  5. Step 5: Solve for x
    x = 32,058,990,648.54/187,820.52
  6. Step 6: Final answer
    x = 170,689.50

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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.