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Finding the Fourth Proportional to 225,667.92, 338,145.84 and 83,317.28

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Solution

The fourth proportional to 225,667.92, 338,145.84 and 83,317.28 is: 124,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,667.92 : 338,145.84 = 83,317.28 : x
  2. Step 2: Convert to fraction form
    225,667.92/338,145.84 = 83,317.28/x
  3. Step 3: Cross multiply
    225,667.92x = 338,145.84 × 83,317.28
  4. Step 4: Simplify right side
    225,667.92x = 28,173,391,632.12
  5. Step 5: Solve for x
    x = 28,173,391,632.12/225,667.92
  6. Step 6: Final answer
    x = 124,844.47

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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.