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Finding the Fourth Proportional to 136,563.56, 204,845.10 and 53,399.24

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Solution

The fourth proportional to 136,563.56, 204,845.10 and 53,399.24 is: 80,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,563.56 : 204,845.10 = 53,399.24 : x
  2. Step 2: Convert to fraction form
    136,563.56/204,845.10 = 53,399.24/x
  3. Step 3: Cross multiply
    136,563.56x = 204,845.10 × 53,399.24
  4. Step 4: Simplify right side
    136,563.56x = 10,938,572,657.72
  5. Step 5: Solve for x
    x = 10,938,572,657.72/136,563.56
  6. Step 6: Final answer
    x = 80,098.77

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Why These Related Problems?

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