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Finding the Fourth Proportional to 226,142.50, 339,369.28 and 78,398.50

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Solution

The fourth proportional to 226,142.50, 339,369.28 and 78,398.50 is: 117,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,142.50 : 339,369.28 = 78,398.50 : x
  2. Step 2: Convert to fraction form
    226,142.50/339,369.28 = 78,398.50/x
  3. Step 3: Cross multiply
    226,142.50x = 339,369.28 × 78,398.50
  4. Step 4: Simplify right side
    226,142.50x = 26,606,042,498.08
  5. Step 5: Solve for x
    x = 26,606,042,498.08/226,142.50
  6. Step 6: Final answer
    x = 117,651.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.