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Finding the Fourth Proportional to 137,983.84, 206,910.24 and 63,081.76

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Solution

The fourth proportional to 137,983.84, 206,910.24 and 63,081.76 is: 94,592.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,983.84 : 206,910.24 = 63,081.76 : x
  2. Step 2: Convert to fraction form
    137,983.84/206,910.24 = 63,081.76/x
  3. Step 3: Cross multiply
    137,983.84x = 206,910.24 × 63,081.76
  4. Step 4: Simplify right side
    137,983.84x = 13,052,262,101.22
  5. Step 5: Solve for x
    x = 13,052,262,101.22/137,983.84
  6. Step 6: Final answer
    x = 94,592.69

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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.