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Finding the Fourth Proportional to 234,243.24, 323,255.60 and 126,813.20

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Solution

The fourth proportional to 234,243.24, 323,255.60 and 126,813.20 is: 175,002.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,243.24 : 323,255.60 = 126,813.20 : x
  2. Step 2: Convert to fraction form
    234,243.24/323,255.60 = 126,813.20/x
  3. Step 3: Cross multiply
    234,243.24x = 323,255.60 × 126,813.20
  4. Step 4: Simplify right side
    234,243.24x = 40,993,077,053.92
  5. Step 5: Solve for x
    x = 40,993,077,053.92/234,243.24
  6. Step 6: Final answer
    x = 175,002.18

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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.