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Finding the Fourth Proportional to 137,906.16, 206,859.24 and 38,063.04

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Solution

The fourth proportional to 137,906.16, 206,859.24 and 38,063.04 is: 57,094.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,906.16 : 206,859.24 = 38,063.04 : x
  2. Step 2: Convert to fraction form
    137,906.16/206,859.24 = 38,063.04/x
  3. Step 3: Cross multiply
    137,906.16x = 206,859.24 × 38,063.04
  4. Step 4: Simplify right side
    137,906.16x = 7,873,691,526.49
  5. Step 5: Solve for x
    x = 7,873,691,526.49/137,906.16
  6. Step 6: Final answer
    x = 57,094.56

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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.