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Finding the Fourth Proportional to 234,267.99, 323,289.39 and 126,838

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Solution

The fourth proportional to 234,267.99, 323,289.39 and 126,838 is: 175,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,267.99 : 323,289.39 = 126,838 : x
  2. Step 2: Convert to fraction form
    234,267.99/323,289.39 = 126,838/x
  3. Step 3: Cross multiply
    234,267.99x = 323,289.39 × 126,838
  4. Step 4: Simplify right side
    234,267.99x = 41,005,379,648.82
  5. Step 5: Solve for x
    x = 41,005,379,648.82/234,267.99
  6. Step 6: Final answer
    x = 175,036.20

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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.