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Finding the Fourth Proportional to 205,107.36, 283,058.88 and 120,251.68

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Solution

The fourth proportional to 205,107.36, 283,058.88 and 120,251.68 is: 165,953.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,107.36 : 283,058.88 = 120,251.68 : x
  2. Step 2: Convert to fraction form
    205,107.36/283,058.88 = 120,251.68/x
  3. Step 3: Cross multiply
    205,107.36x = 283,058.88 × 120,251.68
  4. Step 4: Simplify right side
    205,107.36x = 34,038,305,858.92
  5. Step 5: Solve for x
    x = 34,038,305,858.92/205,107.36
  6. Step 6: Final answer
    x = 165,953.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.