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Finding the Fourth Proportional to 204,570.38, 306,866.50 and 64,339.94

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Solution

The fourth proportional to 204,570.38, 306,866.50 and 64,339.94 is: 96,513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,570.38 : 306,866.50 = 64,339.94 : x
  2. Step 2: Convert to fraction form
    204,570.38/306,866.50 = 64,339.94/x
  3. Step 3: Cross multiply
    204,570.38x = 306,866.50 × 64,339.94
  4. Step 4: Simplify right side
    204,570.38x = 19,743,770,502.83
  5. Step 5: Solve for x
    x = 19,743,770,502.83/204,570.38
  6. Step 6: Final answer
    x = 96,513.34

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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.