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Finding the Fourth Proportional to 205,067.30, 282,992.54 and 114,417.77

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Solution

The fourth proportional to 205,067.30, 282,992.54 and 114,417.77 is: 157,896.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,067.30 : 282,992.54 = 114,417.77 : x
  2. Step 2: Convert to fraction form
    205,067.30/282,992.54 = 114,417.77/x
  3. Step 3: Cross multiply
    205,067.30x = 282,992.54 × 114,417.77
  4. Step 4: Simplify right side
    205,067.30x = 32,379,373,366.38
  5. Step 5: Solve for x
    x = 32,379,373,366.38/205,067.30
  6. Step 6: Final answer
    x = 157,896.33

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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.