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Finding the Fourth Proportional to 135,601.20, 203,401.80 and 46,825.20

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Solution

The fourth proportional to 135,601.20, 203,401.80 and 46,825.20 is: 70,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,601.20 : 203,401.80 = 46,825.20 : x
  2. Step 2: Convert to fraction form
    135,601.20/203,401.80 = 46,825.20/x
  3. Step 3: Cross multiply
    135,601.20x = 203,401.80 × 46,825.20
  4. Step 4: Simplify right side
    135,601.20x = 9,524,329,965.36
  5. Step 5: Solve for x
    x = 9,524,329,965.36/135,601.20
  6. Step 6: Final answer
    x = 70,237.80

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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.