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Finding the Fourth Proportional to 204,614.91, 306,969.72 and 64,369.89

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Solution

The fourth proportional to 204,614.91, 306,969.72 and 64,369.89 is: 96,569.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,614.91 : 306,969.72 = 64,369.89 : x
  2. Step 2: Convert to fraction form
    204,614.91/306,969.72 = 64,369.89/x
  3. Step 3: Cross multiply
    204,614.91x = 306,969.72 × 64,369.89
  4. Step 4: Simplify right side
    204,614.91x = 19,759,607,109.73
  5. Step 5: Solve for x
    x = 19,759,607,109.73/204,614.91
  6. Step 6: Final answer
    x = 96,569.73

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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.