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Finding the Fourth Proportional to 135,165.30, 202,778.74 and 71,952.11

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Solution

The fourth proportional to 135,165.30, 202,778.74 and 71,952.11 is: 107,944.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,165.30 : 202,778.74 = 71,952.11 : x
  2. Step 2: Convert to fraction form
    135,165.30/202,778.74 = 71,952.11/x
  3. Step 3: Cross multiply
    135,165.30x = 202,778.74 × 71,952.11
  4. Step 4: Simplify right side
    135,165.30x = 14,590,358,206.14
  5. Step 5: Solve for x
    x = 14,590,358,206.14/135,165.30
  6. Step 6: Final answer
    x = 107,944.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.