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Finding the Fourth Proportional to 204,219.38, 306,331.86 and 77,866.40

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Solution

The fourth proportional to 204,219.38, 306,331.86 and 77,866.40 is: 116,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,219.38 : 306,331.86 = 77,866.40 : x
  2. Step 2: Convert to fraction form
    204,219.38/306,331.86 = 77,866.40/x
  3. Step 3: Cross multiply
    204,219.38x = 306,331.86 × 77,866.40
  4. Step 4: Simplify right side
    204,219.38x = 23,852,959,143.50
  5. Step 5: Solve for x
    x = 23,852,959,143.50/204,219.38
  6. Step 6: Final answer
    x = 116,800.66

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Why These Related Problems?

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