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Finding the Fourth Proportional to 312,057.24, 468,105.30 and 125,044.44

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Solution

The fourth proportional to 312,057.24, 468,105.30 and 125,044.44 is: 187,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,057.24 : 468,105.30 = 125,044.44 : x
  2. Step 2: Convert to fraction form
    312,057.24/468,105.30 = 125,044.44/x
  3. Step 3: Cross multiply
    312,057.24x = 468,105.30 × 125,044.44
  4. Step 4: Simplify right side
    312,057.24x = 58,533,965,099.53
  5. Step 5: Solve for x
    x = 58,533,965,099.53/312,057.24
  6. Step 6: Final answer
    x = 187,574.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.