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Finding the Fourth Proportional to 204,707.41, 307,018.75 and 54,912.08

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Solution

The fourth proportional to 204,707.41, 307,018.75 and 54,912.08 is: 82,356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,707.41 : 307,018.75 = 54,912.08 : x
  2. Step 2: Convert to fraction form
    204,707.41/307,018.75 = 54,912.08/x
  3. Step 3: Cross multiply
    204,707.41x = 307,018.75 × 54,912.08
  4. Step 4: Simplify right side
    204,707.41x = 16,859,038,161.50
  5. Step 5: Solve for x
    x = 16,859,038,161.50/204,707.41
  6. Step 6: Final answer
    x = 82,356.76

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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.