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Finding the Fourth Proportional to 217,856.40, 326,266.20 and 133,875.60

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Solution

The fourth proportional to 217,856.40, 326,266.20 and 133,875.60 is: 200,494.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,856.40 : 326,266.20 = 133,875.60 : x
  2. Step 2: Convert to fraction form
    217,856.40/326,266.20 = 133,875.60/x
  3. Step 3: Cross multiply
    217,856.40x = 326,266.20 × 133,875.60
  4. Step 4: Simplify right side
    217,856.40x = 43,679,083,284.72
  5. Step 5: Solve for x
    x = 43,679,083,284.72/217,856.40
  6. Step 6: Final answer
    x = 200,494.84

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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.