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Finding the Fourth Proportional to 102,174.86, 140,824.14 and 96,269.96

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Solution

The fourth proportional to 102,174.86, 140,824.14 and 96,269.96 is: 132,685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,174.86 : 140,824.14 = 96,269.96 : x
  2. Step 2: Convert to fraction form
    102,174.86/140,824.14 = 96,269.96/x
  3. Step 3: Cross multiply
    102,174.86x = 140,824.14 × 96,269.96
  4. Step 4: Simplify right side
    102,174.86x = 13,557,133,620.71
  5. Step 5: Solve for x
    x = 13,557,133,620.71/102,174.86
  6. Step 6: Final answer
    x = 132,685.62

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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.