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Finding the Fourth Proportional to 209,235.49, 313,853.27 and 96,854.27

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Solution

The fourth proportional to 209,235.49, 313,853.27 and 96,854.27 is: 145,281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,235.49 : 313,853.27 = 96,854.27 : x
  2. Step 2: Convert to fraction form
    209,235.49/313,853.27 = 96,854.27/x
  3. Step 3: Cross multiply
    209,235.49x = 313,853.27 × 96,854.27
  4. Step 4: Simplify right side
    209,235.49x = 30,398,027,299.43
  5. Step 5: Solve for x
    x = 30,398,027,299.43/209,235.49
  6. Step 6: Final answer
    x = 145,281.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.