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Finding the Fourth Proportional to 204,902.88, 307,389.56 and 62,744.64

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Solution

The fourth proportional to 204,902.88, 307,389.56 and 62,744.64 is: 94,127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,902.88 : 307,389.56 = 62,744.64 : x
  2. Step 2: Convert to fraction form
    204,902.88/307,389.56 = 62,744.64/x
  3. Step 3: Cross multiply
    204,902.88x = 307,389.56 × 62,744.64
  4. Step 4: Simplify right side
    204,902.88x = 19,287,046,968.24
  5. Step 5: Solve for x
    x = 19,287,046,968.24/204,902.88
  6. Step 6: Final answer
    x = 94,127.75

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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.