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Finding the Fourth Proportional to 234,419.74, 323,498.94 and 126,990.21

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Solution

The fourth proportional to 234,419.74, 323,498.94 and 126,990.21 is: 175,246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,419.74 : 323,498.94 = 126,990.21 : x
  2. Step 2: Convert to fraction form
    234,419.74/323,498.94 = 126,990.21/x
  3. Step 3: Cross multiply
    234,419.74x = 323,498.94 × 126,990.21
  4. Step 4: Simplify right side
    234,419.74x = 41,081,198,325.38
  5. Step 5: Solve for x
    x = 41,081,198,325.38/234,419.74
  6. Step 6: Final answer
    x = 175,246.33

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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.