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Finding the Fourth Proportional to 205,365.59, 284,854.41 and 199,903.56

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Solution

The fourth proportional to 205,365.59, 284,854.41 and 199,903.56 is: 277,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,365.59 : 284,854.41 = 199,903.56 : x
  2. Step 2: Convert to fraction form
    205,365.59/284,854.41 = 199,903.56/x
  3. Step 3: Cross multiply
    205,365.59x = 284,854.41 × 199,903.56
  4. Step 4: Simplify right side
    205,365.59x = 56,943,410,640.70
  5. Step 5: Solve for x
    x = 56,943,410,640.70/205,365.59
  6. Step 6: Final answer
    x = 277,278.24

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.