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Finding the Fourth Proportional to 263,234, 363,264.36 and 144,002

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Solution

The fourth proportional to 263,234, 363,264.36 and 144,002 is: 198,723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,234 : 363,264.36 = 144,002 : x
  2. Step 2: Convert to fraction form
    263,234/363,264.36 = 144,002/x
  3. Step 3: Cross multiply
    263,234x = 363,264.36 × 144,002
  4. Step 4: Simplify right side
    263,234x = 52,310,794,368.72
  5. Step 5: Solve for x
    x = 52,310,794,368.72/263,234
  6. Step 6: Final answer
    x = 198,723.55

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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.