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Finding the Fourth Proportional to 200,864.84, 277,198.08 and 120,376.76

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Solution

The fourth proportional to 200,864.84, 277,198.08 and 120,376.76 is: 166,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,864.84 : 277,198.08 = 120,376.76 : x
  2. Step 2: Convert to fraction form
    200,864.84/277,198.08 = 120,376.76/x
  3. Step 3: Cross multiply
    200,864.84x = 277,198.08 × 120,376.76
  4. Step 4: Simplify right side
    200,864.84x = 33,368,206,748.62
  5. Step 5: Solve for x
    x = 33,368,206,748.62/200,864.84
  6. Step 6: Final answer
    x = 166,122.69

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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.