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Finding the Fourth Proportional to 109,412.54, 164,053.20 and 50,174

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Solution

The fourth proportional to 109,412.54, 164,053.20 and 50,174 is: 75,230.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,412.54 : 164,053.20 = 50,174 : x
  2. Step 2: Convert to fraction form
    109,412.54/164,053.20 = 50,174/x
  3. Step 3: Cross multiply
    109,412.54x = 164,053.20 × 50,174
  4. Step 4: Simplify right side
    109,412.54x = 8,231,205,256.80
  5. Step 5: Solve for x
    x = 8,231,205,256.80/109,412.54
  6. Step 6: Final answer
    x = 75,230.91

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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.