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Finding the Fourth Proportional to 228,212.14, 342,313.96 and 68,288.17

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Solution

The fourth proportional to 228,212.14, 342,313.96 and 68,288.17 is: 102,430.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,212.14 : 342,313.96 = 68,288.17 : x
  2. Step 2: Convert to fraction form
    228,212.14/342,313.96 = 68,288.17/x
  3. Step 3: Cross multiply
    228,212.14x = 342,313.96 × 68,288.17
  4. Step 4: Simplify right side
    228,212.14x = 23,375,993,893.85
  5. Step 5: Solve for x
    x = 23,375,993,893.85/228,212.14
  6. Step 6: Final answer
    x = 102,430.98

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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.