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Finding the Fourth Proportional to 226,643.20, 339,950.40 and 76,883.20

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Solution

The fourth proportional to 226,643.20, 339,950.40 and 76,883.20 is: 115,319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,643.20 : 339,950.40 = 76,883.20 : x
  2. Step 2: Convert to fraction form
    226,643.20/339,950.40 = 76,883.20/x
  3. Step 3: Cross multiply
    226,643.20x = 339,950.40 × 76,883.20
  4. Step 4: Simplify right side
    226,643.20x = 26,136,474,593.28
  5. Step 5: Solve for x
    x = 26,136,474,593.28/226,643.20
  6. Step 6: Final answer
    x = 115,319.92

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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.