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Finding the Fourth Proportional to 144,494.58, 199,394.50 and 80,820.08

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Solution

The fourth proportional to 144,494.58, 199,394.50 and 80,820.08 is: 111,527.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,494.58 : 199,394.50 = 80,820.08 : x
  2. Step 2: Convert to fraction form
    144,494.58/199,394.50 = 80,820.08/x
  3. Step 3: Cross multiply
    144,494.58x = 199,394.50 × 80,820.08
  4. Step 4: Simplify right side
    144,494.58x = 16,115,079,441.56
  5. Step 5: Solve for x
    x = 16,115,079,441.56/144,494.58
  6. Step 6: Final answer
    x = 111,527.22

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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.