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Finding the Fourth Proportional to 204,039, 306,076.14 and 56,295

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Solution

The fourth proportional to 204,039, 306,076.14 and 56,295 is: 84,447.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,039 : 306,076.14 = 56,295 : x
  2. Step 2: Convert to fraction form
    204,039/306,076.14 = 56,295/x
  3. Step 3: Cross multiply
    204,039x = 306,076.14 × 56,295
  4. Step 4: Simplify right side
    204,039x = 17,230,556,301.30
  5. Step 5: Solve for x
    x = 17,230,556,301.30/204,039
  6. Step 6: Final answer
    x = 84,447.37

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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.