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Finding the Fourth Proportional to 204,792.75, 307,240.97 and 57,048.75

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Solution

The fourth proportional to 204,792.75, 307,240.97 and 57,048.75 is: 85,587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,792.75 : 307,240.97 = 57,048.75 : x
  2. Step 2: Convert to fraction form
    204,792.75/307,240.97 = 57,048.75/x
  3. Step 3: Cross multiply
    204,792.75x = 307,240.97 × 57,048.75
  4. Step 4: Simplify right side
    204,792.75x = 17,527,713,002.04
  5. Step 5: Solve for x
    x = 17,527,713,002.04/204,792.75
  6. Step 6: Final answer
    x = 85,587.57

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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.