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Finding the Fourth Proportional to 142,474.77, 213,593.90 and 53,679.33

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Solution

The fourth proportional to 142,474.77, 213,593.90 and 53,679.33 is: 80,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,474.77 : 213,593.90 = 53,679.33 : x
  2. Step 2: Convert to fraction form
    142,474.77/213,593.90 = 53,679.33/x
  3. Step 3: Cross multiply
    142,474.77x = 213,593.90 × 53,679.33
  4. Step 4: Simplify right side
    142,474.77x = 11,465,577,175.69
  5. Step 5: Solve for x
    x = 11,465,577,175.69/142,474.77
  6. Step 6: Final answer
    x = 80,474.44

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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.