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Finding the Fourth Proportional to 225,469.12, 338,206.56 and 107,152

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Solution

The fourth proportional to 225,469.12, 338,206.56 and 107,152 is: 160,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,469.12 : 338,206.56 = 107,152 : x
  2. Step 2: Convert to fraction form
    225,469.12/338,206.56 = 107,152/x
  3. Step 3: Cross multiply
    225,469.12x = 338,206.56 × 107,152
  4. Step 4: Simplify right side
    225,469.12x = 36,239,509,317.12
  5. Step 5: Solve for x
    x = 36,239,509,317.12/225,469.12
  6. Step 6: Final answer
    x = 160,729.37

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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.