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Finding the Fourth Proportional to 137,722.71, 206,584.97 and 37,893.45

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Solution

The fourth proportional to 137,722.71, 206,584.97 and 37,893.45 is: 56,840.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,722.71 : 206,584.97 = 37,893.45 : x
  2. Step 2: Convert to fraction form
    137,722.71/206,584.97 = 37,893.45/x
  3. Step 3: Cross multiply
    137,722.71x = 206,584.97 × 37,893.45
  4. Step 4: Simplify right side
    137,722.71x = 7,828,216,809.72
  5. Step 5: Solve for x
    x = 7,828,216,809.72/137,722.71
  6. Step 6: Final answer
    x = 56,840.42

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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.