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Finding the Fourth Proportional to 263,633, 363,814.82 and 144,401

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Solution

The fourth proportional to 263,633, 363,814.82 and 144,401 is: 199,274.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,633 : 363,814.82 = 144,401 : x
  2. Step 2: Convert to fraction form
    263,633/363,814.82 = 144,401/x
  3. Step 3: Cross multiply
    263,633x = 363,814.82 × 144,401
  4. Step 4: Simplify right side
    263,633x = 52,535,223,822.82
  5. Step 5: Solve for x
    x = 52,535,223,822.82/263,633
  6. Step 6: Final answer
    x = 199,274.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.