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Finding the Fourth Proportional to 200,840.46, 277,167.96 and 120,251.94

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Solution

The fourth proportional to 200,840.46, 277,167.96 and 120,251.94 is: 165,952.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,840.46 : 277,167.96 = 120,251.94 : x
  2. Step 2: Convert to fraction form
    200,840.46/277,167.96 = 120,251.94/x
  3. Step 3: Cross multiply
    200,840.46x = 277,167.96 × 120,251.94
  4. Step 4: Simplify right side
    200,840.46x = 33,329,984,895.84
  5. Step 5: Solve for x
    x = 33,329,984,895.84/200,840.46
  6. Step 6: Final answer
    x = 165,952.54

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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.