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Finding the Fourth Proportional to 133,744.26, 200,569.86 and 53,758.49

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Solution

The fourth proportional to 133,744.26, 200,569.86 and 53,758.49 is: 80,619.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,744.26 : 200,569.86 = 53,758.49 : x
  2. Step 2: Convert to fraction form
    133,744.26/200,569.86 = 53,758.49/x
  3. Step 3: Cross multiply
    133,744.26x = 200,569.86 × 53,758.49
  4. Step 4: Simplify right side
    133,744.26x = 10,782,331,810.26
  5. Step 5: Solve for x
    x = 10,782,331,810.26/133,744.26
  6. Step 6: Final answer
    x = 80,619.02

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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.