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Finding the Fourth Proportional to 263,821, 364,096.02 and 144,612.04

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Solution

The fourth proportional to 263,821, 364,096.02 and 144,612.04 is: 199,577.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,821 : 364,096.02 = 144,612.04 : x
  2. Step 2: Convert to fraction form
    263,821/364,096.02 = 144,612.04/x
  3. Step 3: Cross multiply
    263,821x = 364,096.02 × 144,612.04
  4. Step 4: Simplify right side
    263,821x = 52,652,668,208.08
  5. Step 5: Solve for x
    x = 52,652,668,208.08/263,821
  6. Step 6: Final answer
    x = 199,577.24

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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.