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Finding the Fourth Proportional to 135,379.86, 203,256.14 and 68,865

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Solution

The fourth proportional to 135,379.86, 203,256.14 and 68,865 is: 103,392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,379.86 : 203,256.14 = 68,865 : x
  2. Step 2: Convert to fraction form
    135,379.86/203,256.14 = 68,865/x
  3. Step 3: Cross multiply
    135,379.86x = 203,256.14 × 68,865
  4. Step 4: Simplify right side
    135,379.86x = 13,997,234,081.10
  5. Step 5: Solve for x
    x = 13,997,234,081.10/135,379.86
  6. Step 6: Final answer
    x = 103,392.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.