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Finding the Fourth Proportional to 204,126.60, 306,196.82 and 71,008.01

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Solution

The fourth proportional to 204,126.60, 306,196.82 and 71,008.01 is: 106,514.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,126.60 : 306,196.82 = 71,008.01 : x
  2. Step 2: Convert to fraction form
    204,126.60/306,196.82 = 71,008.01/x
  3. Step 3: Cross multiply
    204,126.60x = 306,196.82 × 71,008.01
  4. Step 4: Simplify right side
    204,126.60x = 21,742,427,266.98
  5. Step 5: Solve for x
    x = 21,742,427,266.98/204,126.60
  6. Step 6: Final answer
    x = 106,514.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.