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Finding the Fourth Proportional to 234,399.49, 323,471.69 and 126,970.41

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Solution

The fourth proportional to 234,399.49, 323,471.69 and 126,970.41 is: 175,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,399.49 : 323,471.69 = 126,970.41 : x
  2. Step 2: Convert to fraction form
    234,399.49/323,471.69 = 126,970.41/x
  3. Step 3: Cross multiply
    234,399.49x = 323,471.69 × 126,970.41
  4. Step 4: Simplify right side
    234,399.49x = 41,071,333,102.69
  5. Step 5: Solve for x
    x = 41,071,333,102.69/234,399.49
  6. Step 6: Final answer
    x = 175,219.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.