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Finding the Fourth Proportional to 137,995.94, 206,869.20 and 49,228.34

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Solution

The fourth proportional to 137,995.94, 206,869.20 and 49,228.34 is: 73,798.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,995.94 : 206,869.20 = 49,228.34 : x
  2. Step 2: Convert to fraction form
    137,995.94/206,869.20 = 49,228.34/x
  3. Step 3: Cross multiply
    137,995.94x = 206,869.20 × 49,228.34
  4. Step 4: Simplify right side
    137,995.94x = 10,183,826,278.78
  5. Step 5: Solve for x
    x = 10,183,826,278.78/137,995.94
  6. Step 6: Final answer
    x = 73,798.02

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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.