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Finding the Fourth Proportional to 102,645.36, 141,664.68 and 60,217.56

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Solution

The fourth proportional to 102,645.36, 141,664.68 and 60,217.56 is: 83,108.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,645.36 : 141,664.68 = 60,217.56 : x
  2. Step 2: Convert to fraction form
    102,645.36/141,664.68 = 60,217.56/x
  3. Step 3: Cross multiply
    102,645.36x = 141,664.68 × 60,217.56
  4. Step 4: Simplify right side
    102,645.36x = 8,530,701,367.78
  5. Step 5: Solve for x
    x = 8,530,701,367.78/102,645.36
  6. Step 6: Final answer
    x = 83,108.49

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