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Finding the Fourth Proportional to 263,638, 363,821.72 and 144,406

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Solution

The fourth proportional to 263,638, 363,821.72 and 144,406 is: 199,280.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,638 : 363,821.72 = 144,406 : x
  2. Step 2: Convert to fraction form
    263,638/363,821.72 = 144,406/x
  3. Step 3: Cross multiply
    263,638x = 363,821.72 × 144,406
  4. Step 4: Simplify right side
    263,638x = 52,538,039,298.32
  5. Step 5: Solve for x
    x = 52,538,039,298.32/263,638
  6. Step 6: Final answer
    x = 199,280.98

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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.