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Finding the Fourth Proportional to 204,274.78, 306,412.26 and 64,044.34

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Solution

The fourth proportional to 204,274.78, 306,412.26 and 64,044.34 is: 96,066.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,274.78 : 306,412.26 = 64,044.34 : x
  2. Step 2: Convert to fraction form
    204,274.78/306,412.26 = 64,044.34/x
  3. Step 3: Cross multiply
    204,274.78x = 306,412.26 × 64,044.34
  4. Step 4: Simplify right side
    204,274.78x = 19,623,970,959.61
  5. Step 5: Solve for x
    x = 19,623,970,959.61/204,274.78
  6. Step 6: Final answer
    x = 96,066.54

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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.