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Finding the Fourth Proportional to 251,638.38, 347,264.82 and 144,217.80

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Solution

The fourth proportional to 251,638.38, 347,264.82 and 144,217.80 is: 199,022.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,638.38 : 347,264.82 = 144,217.80 : x
  2. Step 2: Convert to fraction form
    251,638.38/347,264.82 = 144,217.80/x
  3. Step 3: Cross multiply
    251,638.38x = 347,264.82 × 144,217.80
  4. Step 4: Simplify right side
    251,638.38x = 50,081,768,357.80
  5. Step 5: Solve for x
    x = 50,081,768,357.80/251,638.38
  6. Step 6: Final answer
    x = 199,022.77

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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.