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Finding the Fourth Proportional to 223,949.76, 335,686.56 and 83,647.68

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Solution

The fourth proportional to 223,949.76, 335,686.56 and 83,647.68 is: 125,382.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,949.76 : 335,686.56 = 83,647.68 : x
  2. Step 2: Convert to fraction form
    223,949.76/335,686.56 = 83,647.68/x
  3. Step 3: Cross multiply
    223,949.76x = 335,686.56 × 83,647.68
  4. Step 4: Simplify right side
    223,949.76x = 28,079,401,951.18
  5. Step 5: Solve for x
    x = 28,079,401,951.18/223,949.76
  6. Step 6: Final answer
    x = 125,382.59

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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.