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Finding the Fourth Proportional to 225,584.83, 311,307.14 and 123,609.46

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Solution

The fourth proportional to 225,584.83, 311,307.14 and 123,609.46 is: 170,581.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,584.83 : 311,307.14 = 123,609.46 : x
  2. Step 2: Convert to fraction form
    225,584.83/311,307.14 = 123,609.46/x
  3. Step 3: Cross multiply
    225,584.83x = 311,307.14 × 123,609.46
  4. Step 4: Simplify right side
    225,584.83x = 38,480,507,469.54
  5. Step 5: Solve for x
    x = 38,480,507,469.54/225,584.83
  6. Step 6: Final answer
    x = 170,581.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.