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Finding the Fourth Proportional to 200,950.77, 277,185.92 and 119,221.17

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Solution

The fourth proportional to 200,950.77, 277,185.92 and 119,221.17 is: 164,450.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,950.77 : 277,185.92 = 119,221.17 : x
  2. Step 2: Convert to fraction form
    200,950.77/277,185.92 = 119,221.17/x
  3. Step 3: Cross multiply
    200,950.77x = 277,185.92 × 119,221.17
  4. Step 4: Simplify right side
    200,950.77x = 33,046,429,093.82
  5. Step 5: Solve for x
    x = 33,046,429,093.82/200,950.77
  6. Step 6: Final answer
    x = 164,450.37

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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.