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Finding the Fourth Proportional to 147,885, 204,081.30 and 80,817

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Solution

The fourth proportional to 147,885, 204,081.30 and 80,817 is: 111,527.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,885 : 204,081.30 = 80,817 : x
  2. Step 2: Convert to fraction form
    147,885/204,081.30 = 80,817/x
  3. Step 3: Cross multiply
    147,885x = 204,081.30 × 80,817
  4. Step 4: Simplify right side
    147,885x = 16,493,238,422.10
  5. Step 5: Solve for x
    x = 16,493,238,422.10/147,885
  6. Step 6: Final answer
    x = 111,527.46

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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.