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Finding the Fourth Proportional to 135,800.78, 187,361.62 and 78,432.48

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Solution

The fourth proportional to 135,800.78, 187,361.62 and 78,432.48 is: 108,211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,800.78 : 187,361.62 = 78,432.48 : x
  2. Step 2: Convert to fraction form
    135,800.78/187,361.62 = 78,432.48/x
  3. Step 3: Cross multiply
    135,800.78x = 187,361.62 × 78,432.48
  4. Step 4: Simplify right side
    135,800.78x = 14,695,236,317.34
  5. Step 5: Solve for x
    x = 14,695,236,317.34/135,800.78
  6. Step 6: Final answer
    x = 108,211.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.