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Finding the Fourth Proportional to 135,261.38, 202,760.20 and 56,398.16

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Solution

The fourth proportional to 135,261.38, 202,760.20 and 56,398.16 is: 84,542.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,261.38 : 202,760.20 = 56,398.16 : x
  2. Step 2: Convert to fraction form
    135,261.38/202,760.20 = 56,398.16/x
  3. Step 3: Cross multiply
    135,261.38x = 202,760.20 × 56,398.16
  4. Step 4: Simplify right side
    135,261.38x = 11,435,302,201.23
  5. Step 5: Solve for x
    x = 11,435,302,201.23/135,261.38
  6. Step 6: Final answer
    x = 84,542.26

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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.