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Finding the Fourth Proportional to 225,329.76, 338,170.77 and 99,057.24

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Solution

The fourth proportional to 225,329.76, 338,170.77 and 99,057.24 is: 148,663.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,329.76 : 338,170.77 = 99,057.24 : x
  2. Step 2: Convert to fraction form
    225,329.76/338,170.77 = 99,057.24/x
  3. Step 3: Cross multiply
    225,329.76x = 338,170.77 × 99,057.24
  4. Step 4: Simplify right side
    225,329.76x = 33,498,263,124.87
  5. Step 5: Solve for x
    x = 33,498,263,124.87/225,329.76
  6. Step 6: Final answer
    x = 148,663.29

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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.