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Finding the Fourth Proportional to 226,224, 339,186.24 and 107,913.60

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Solution

The fourth proportional to 226,224, 339,186.24 and 107,913.60 is: 161,798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,224 : 339,186.24 = 107,913.60 : x
  2. Step 2: Convert to fraction form
    226,224/339,186.24 = 107,913.60/x
  3. Step 3: Cross multiply
    226,224x = 339,186.24 × 107,913.60
  4. Step 4: Simplify right side
    226,224x = 36,602,808,228.86
  5. Step 5: Solve for x
    x = 36,602,808,228.86/226,224
  6. Step 6: Final answer
    x = 161,798.96

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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.