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Finding the Fourth Proportional to 204,182.92, 306,227.40 and 77,837.50

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Solution

The fourth proportional to 204,182.92, 306,227.40 and 77,837.50 is: 116,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,182.92 : 306,227.40 = 77,837.50 : x
  2. Step 2: Convert to fraction form
    204,182.92/306,227.40 = 77,837.50/x
  3. Step 3: Cross multiply
    204,182.92x = 306,227.40 × 77,837.50
  4. Step 4: Simplify right side
    204,182.92x = 23,835,975,247.50
  5. Step 5: Solve for x
    x = 23,835,975,247.50/204,182.92
  6. Step 6: Final answer
    x = 116,738.34

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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.