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Finding the Fourth Proportional to 135,366.60, 202,916 and 64,164.20

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Solution

The fourth proportional to 135,366.60, 202,916 and 64,164.20 is: 96,182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,366.60 : 202,916 = 64,164.20 : x
  2. Step 2: Convert to fraction form
    135,366.60/202,916 = 64,164.20/x
  3. Step 3: Cross multiply
    135,366.60x = 202,916 × 64,164.20
  4. Step 4: Simplify right side
    135,366.60x = 13,019,942,807.20
  5. Step 5: Solve for x
    x = 13,019,942,807.20/135,366.60
  6. Step 6: Final answer
    x = 96,182.83

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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.