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Finding the Fourth Proportional to 251,451.54, 346,982.09 and 148,069.31

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Solution

The fourth proportional to 251,451.54, 346,982.09 and 148,069.31 is: 204,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,451.54 : 346,982.09 = 148,069.31 : x
  2. Step 2: Convert to fraction form
    251,451.54/346,982.09 = 148,069.31/x
  3. Step 3: Cross multiply
    251,451.54x = 346,982.09 × 148,069.31
  4. Step 4: Simplify right side
    251,451.54x = 51,377,396,173.40
  5. Step 5: Solve for x
    x = 51,377,396,173.40/251,451.54
  6. Step 6: Final answer
    x = 204,323.25

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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.