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Finding the Fourth Proportional to 137,593.26, 206,376.03 and 37,763.51

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Solution

The fourth proportional to 137,593.26, 206,376.03 and 37,763.51 is: 56,641.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,593.26 : 206,376.03 = 37,763.51 : x
  2. Step 2: Convert to fraction form
    137,593.26/206,376.03 = 37,763.51/x
  3. Step 3: Cross multiply
    137,593.26x = 206,376.03 × 37,763.51
  4. Step 4: Simplify right side
    137,593.26x = 7,793,482,240.79
  5. Step 5: Solve for x
    x = 7,793,482,240.79/137,593.26
  6. Step 6: Final answer
    x = 56,641.45

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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.