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Finding the Fourth Proportional to 135,218, 202,827.80 and 36,722

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Solution

The fourth proportional to 135,218, 202,827.80 and 36,722 is: 55,083.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,218 : 202,827.80 = 36,722 : x
  2. Step 2: Convert to fraction form
    135,218/202,827.80 = 36,722/x
  3. Step 3: Cross multiply
    135,218x = 202,827.80 × 36,722
  4. Step 4: Simplify right side
    135,218x = 7,448,242,471.60
  5. Step 5: Solve for x
    x = 7,448,242,471.60/135,218
  6. Step 6: Final answer
    x = 55,083.22

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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.