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Finding the Fourth Proportional to 205,326.72, 283,355.52 and 120,504.96

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Solution

The fourth proportional to 205,326.72, 283,355.52 and 120,504.96 is: 166,299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,326.72 : 283,355.52 = 120,504.96 : x
  2. Step 2: Convert to fraction form
    205,326.72/283,355.52 = 120,504.96/x
  3. Step 3: Cross multiply
    205,326.72x = 283,355.52 × 120,504.96
  4. Step 4: Simplify right side
    205,326.72x = 34,145,745,603.38
  5. Step 5: Solve for x
    x = 34,145,745,603.38/205,326.72
  6. Step 6: Final answer
    x = 166,299.57

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Why These Related Problems?

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