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Finding the Fourth Proportional to 204,716.59, 307,012.92 and 71,572.03

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Solution

The fourth proportional to 204,716.59, 307,012.92 and 71,572.03 is: 107,336.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,716.59 : 307,012.92 = 71,572.03 : x
  2. Step 2: Convert to fraction form
    204,716.59/307,012.92 = 71,572.03/x
  3. Step 3: Cross multiply
    204,716.59x = 307,012.92 × 71,572.03
  4. Step 4: Simplify right side
    204,716.59x = 21,973,537,920.63
  5. Step 5: Solve for x
    x = 21,973,537,920.63/204,716.59
  6. Step 6: Final answer
    x = 107,336.38

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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.