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Finding the Fourth Proportional to 226,431.50, 312,395.82 and 135,816.80

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Solution

The fourth proportional to 226,431.50, 312,395.82 and 135,816.80 is: 187,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,431.50 : 312,395.82 = 135,816.80 : x
  2. Step 2: Convert to fraction form
    226,431.50/312,395.82 = 135,816.80/x
  3. Step 3: Cross multiply
    226,431.50x = 312,395.82 × 135,816.80
  4. Step 4: Simplify right side
    226,431.50x = 42,428,600,605.78
  5. Step 5: Solve for x
    x = 42,428,600,605.78/226,431.50
  6. Step 6: Final answer
    x = 187,379.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.