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Finding the Fourth Proportional to 150,187, 225,105.54 and 83,595.28

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Solution

The fourth proportional to 150,187, 225,105.54 and 83,595.28 is: 125,295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,187 : 225,105.54 = 83,595.28 : x
  2. Step 2: Convert to fraction form
    150,187/225,105.54 = 83,595.28/x
  3. Step 3: Cross multiply
    150,187x = 225,105.54 × 83,595.28
  4. Step 4: Simplify right side
    150,187x = 18,817,760,645.85
  5. Step 5: Solve for x
    x = 18,817,760,645.85/150,187
  6. Step 6: Final answer
    x = 125,295.54

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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.