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Finding the Fourth Proportional to 137,789.84, 206,685.87 and 37,955.54

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Solution

The fourth proportional to 137,789.84, 206,685.87 and 37,955.54 is: 56,933.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,789.84 : 206,685.87 = 37,955.54 : x
  2. Step 2: Convert to fraction form
    137,789.84/206,685.87 = 37,955.54/x
  3. Step 3: Cross multiply
    137,789.84x = 206,685.87 × 37,955.54
  4. Step 4: Simplify right side
    137,789.84x = 7,844,872,772.79
  5. Step 5: Solve for x
    x = 7,844,872,772.79/137,789.84
  6. Step 6: Final answer
    x = 56,933.61

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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.