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Finding the Fourth Proportional to 263,342, 363,412.68 and 144,110

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Solution

The fourth proportional to 263,342, 363,412.68 and 144,110 is: 198,872.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,342 : 363,412.68 = 144,110 : x
  2. Step 2: Convert to fraction form
    263,342/363,412.68 = 144,110/x
  3. Step 3: Cross multiply
    263,342x = 363,412.68 × 144,110
  4. Step 4: Simplify right side
    263,342x = 52,371,401,314.80
  5. Step 5: Solve for x
    x = 52,371,401,314.80/263,342
  6. Step 6: Final answer
    x = 198,872.19

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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.