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Finding the Fourth Proportional to 223,856.10, 335,784.15 and 199,361.70

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Solution

The fourth proportional to 223,856.10, 335,784.15 and 199,361.70 is: 299,042.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,856.10 : 335,784.15 = 199,361.70 : x
  2. Step 2: Convert to fraction form
    223,856.10/335,784.15 = 199,361.70/x
  3. Step 3: Cross multiply
    223,856.10x = 335,784.15 × 199,361.70
  4. Step 4: Simplify right side
    223,856.10x = 66,942,498,977.06
  5. Step 5: Solve for x
    x = 66,942,498,977.06/223,856.10
  6. Step 6: Final answer
    x = 299,042.55

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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.