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Finding the Fourth Proportional to 135,664.92, 187,001.85 and 106,938

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Solution

The fourth proportional to 135,664.92, 187,001.85 and 106,938 is: 147,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,664.92 : 187,001.85 = 106,938 : x
  2. Step 2: Convert to fraction form
    135,664.92/187,001.85 = 106,938/x
  3. Step 3: Cross multiply
    135,664.92x = 187,001.85 × 106,938
  4. Step 4: Simplify right side
    135,664.92x = 19,997,603,835.30
  5. Step 5: Solve for x
    x = 19,997,603,835.30/135,664.92
  6. Step 6: Final answer
    x = 147,404.38

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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.