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Finding the Fourth Proportional to 134,863.86, 202,305.54 and 51,757.86

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Solution

The fourth proportional to 134,863.86, 202,305.54 and 51,757.86 is: 77,640.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,863.86 : 202,305.54 = 51,757.86 : x
  2. Step 2: Convert to fraction form
    134,863.86/202,305.54 = 51,757.86/x
  3. Step 3: Cross multiply
    134,863.86x = 202,305.54 × 51,757.86
  4. Step 4: Simplify right side
    134,863.86x = 10,470,901,816.54
  5. Step 5: Solve for x
    x = 10,470,901,816.54/134,863.86
  6. Step 6: Final answer
    x = 77,640.53

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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.