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Finding the Fourth Proportional to 212,171.68, 318,295.92 and 64,423.84

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Solution

The fourth proportional to 212,171.68, 318,295.92 and 64,423.84 is: 96,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,171.68 : 318,295.92 = 64,423.84 : x
  2. Step 2: Convert to fraction form
    212,171.68/318,295.92 = 64,423.84/x
  3. Step 3: Cross multiply
    212,171.68x = 318,295.92 × 64,423.84
  4. Step 4: Simplify right side
    212,171.68x = 20,505,845,422.73
  5. Step 5: Solve for x
    x = 20,505,845,422.73/212,171.68
  6. Step 6: Final answer
    x = 96,647.42

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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.