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Finding the Fourth Proportional to 102,256.92, 141,114.24 and 56,933.73

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Solution

The fourth proportional to 102,256.92, 141,114.24 and 56,933.73 is: 78,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,256.92 : 141,114.24 = 56,933.73 : x
  2. Step 2: Convert to fraction form
    102,256.92/141,114.24 = 56,933.73/x
  3. Step 3: Cross multiply
    102,256.92x = 141,114.24 × 56,933.73
  4. Step 4: Simplify right side
    102,256.92x = 8,034,160,039.32
  5. Step 5: Solve for x
    x = 8,034,160,039.32/102,256.92
  6. Step 6: Final answer
    x = 78,568.38

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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.