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Finding the Fourth Proportional to 225,735.39, 338,364.36 and 83,489.25

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Solution

The fourth proportional to 225,735.39, 338,364.36 and 83,489.25 is: 125,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,735.39 : 338,364.36 = 83,489.25 : x
  2. Step 2: Convert to fraction form
    225,735.39/338,364.36 = 83,489.25/x
  3. Step 3: Cross multiply
    225,735.39x = 338,364.36 × 83,489.25
  4. Step 4: Simplify right side
    225,735.39x = 28,249,786,643.13
  5. Step 5: Solve for x
    x = 28,249,786,643.13/225,735.39
  6. Step 6: Final answer
    x = 125,145.58

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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.