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Finding the Fourth Proportional to 219,563.38, 302,997.36 and 118,961.38

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Solution

The fourth proportional to 219,563.38, 302,997.36 and 118,961.38 is: 164,166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,563.38 : 302,997.36 = 118,961.38 : x
  2. Step 2: Convert to fraction form
    219,563.38/302,997.36 = 118,961.38/x
  3. Step 3: Cross multiply
    219,563.38x = 302,997.36 × 118,961.38
  4. Step 4: Simplify right side
    219,563.38x = 36,044,984,081.96
  5. Step 5: Solve for x
    x = 36,044,984,081.96/219,563.38
  6. Step 6: Final answer
    x = 164,166.65

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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.