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Finding the Fourth Proportional to 230,224.49, 345,383.61 and 97,105.24

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Solution

The fourth proportional to 230,224.49, 345,383.61 and 97,105.24 is: 145,677.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,224.49 : 345,383.61 = 97,105.24 : x
  2. Step 2: Convert to fraction form
    230,224.49/345,383.61 = 97,105.24/x
  3. Step 3: Cross multiply
    230,224.49x = 345,383.61 × 97,105.24
  4. Step 4: Simplify right side
    230,224.49x = 33,538,558,341.12
  5. Step 5: Solve for x
    x = 33,538,558,341.12/230,224.49
  6. Step 6: Final answer
    x = 145,677.63

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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.