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Finding the Fourth Proportional to 277,221.39, 382,565.78 and 149,896.95

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Solution

The fourth proportional to 277,221.39, 382,565.78 and 149,896.95 is: 206,857.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,221.39 : 382,565.78 = 149,896.95 : x
  2. Step 2: Convert to fraction form
    277,221.39/382,565.78 = 149,896.95/x
  3. Step 3: Cross multiply
    277,221.39x = 382,565.78 × 149,896.95
  4. Step 4: Simplify right side
    277,221.39x = 57,345,442,058.28
  5. Step 5: Solve for x
    x = 57,345,442,058.28/277,221.39
  6. Step 6: Final answer
    x = 206,857.93

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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.