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Finding the Fourth Proportional to 205,248.52, 283,290.18 and 120,392.92

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Solution

The fourth proportional to 205,248.52, 283,290.18 and 120,392.92 is: 166,169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,248.52 : 283,290.18 = 120,392.92 : x
  2. Step 2: Convert to fraction form
    205,248.52/283,290.18 = 120,392.92/x
  3. Step 3: Cross multiply
    205,248.52x = 283,290.18 × 120,392.92
  4. Step 4: Simplify right side
    205,248.52x = 34,106,131,977.53
  5. Step 5: Solve for x
    x = 34,106,131,977.53/205,248.52
  6. Step 6: Final answer
    x = 166,169.93

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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.