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Finding the Fourth Proportional to 201,767.80, 302,645.22 and 83,404.12

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Solution

The fourth proportional to 201,767.80, 302,645.22 and 83,404.12 is: 125,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,767.80 : 302,645.22 = 83,404.12 : x
  2. Step 2: Convert to fraction form
    201,767.80/302,645.22 = 83,404.12/x
  3. Step 3: Cross multiply
    201,767.80x = 302,645.22 × 83,404.12
  4. Step 4: Simplify right side
    201,767.80x = 25,241,858,246.31
  5. Step 5: Solve for x
    x = 25,241,858,246.31/201,767.80
  6. Step 6: Final answer
    x = 125,103.50

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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.