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Finding the Fourth Proportional to 201,664.45, 302,496.77 and 83,205.59

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Solution

The fourth proportional to 201,664.45, 302,496.77 and 83,205.59 is: 124,808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,664.45 : 302,496.77 = 83,205.59 : x
  2. Step 2: Convert to fraction form
    201,664.45/302,496.77 = 83,205.59/x
  3. Step 3: Cross multiply
    201,664.45x = 302,496.77 × 83,205.59
  4. Step 4: Simplify right side
    201,664.45x = 25,169,422,220.94
  5. Step 5: Solve for x
    x = 25,169,422,220.94/201,664.45
  6. Step 6: Final answer
    x = 124,808.42

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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.