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Finding the Fourth Proportional to 115,863.40, 173,633.10 and 92,211.40

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Solution

The fourth proportional to 115,863.40, 173,633.10 and 92,211.40 is: 138,188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,863.40 : 173,633.10 = 92,211.40 : x
  2. Step 2: Convert to fraction form
    115,863.40/173,633.10 = 92,211.40/x
  3. Step 3: Cross multiply
    115,863.40x = 173,633.10 × 92,211.40
  4. Step 4: Simplify right side
    115,863.40x = 16,010,951,237.34
  5. Step 5: Solve for x
    x = 16,010,951,237.34/115,863.40
  6. Step 6: Final answer
    x = 138,188.17

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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.