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Finding the Fourth Proportional to 135,863.88, 203,730.30 and 56,956.92

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Solution

The fourth proportional to 135,863.88, 203,730.30 and 56,956.92 is: 85,407.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,863.88 : 203,730.30 = 56,956.92 : x
  2. Step 2: Convert to fraction form
    135,863.88/203,730.30 = 56,956.92/x
  3. Step 3: Cross multiply
    135,863.88x = 203,730.30 × 56,956.92
  4. Step 4: Simplify right side
    135,863.88x = 11,603,850,398.68
  5. Step 5: Solve for x
    x = 11,603,850,398.68/135,863.88
  6. Step 6: Final answer
    x = 85,407.91

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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.