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Finding the Fourth Proportional to 137,113.80, 205,717.32 and 73,939.92

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Solution

The fourth proportional to 137,113.80, 205,717.32 and 73,939.92 is: 110,935.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,113.80 : 205,717.32 = 73,939.92 : x
  2. Step 2: Convert to fraction form
    137,113.80/205,717.32 = 73,939.92/x
  3. Step 3: Cross multiply
    137,113.80x = 205,717.32 × 73,939.92
  4. Step 4: Simplify right side
    137,113.80x = 15,210,722,183.41
  5. Step 5: Solve for x
    x = 15,210,722,183.41/137,113.80
  6. Step 6: Final answer
    x = 110,935.02

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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.