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Finding the Fourth Proportional to 204,997.50, 307,496.79 and 57,253.50

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Solution

The fourth proportional to 204,997.50, 307,496.79 and 57,253.50 is: 85,880.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,997.50 : 307,496.79 = 57,253.50 : x
  2. Step 2: Convert to fraction form
    204,997.50/307,496.79 = 57,253.50/x
  3. Step 3: Cross multiply
    204,997.50x = 307,496.79 × 57,253.50
  4. Step 4: Simplify right side
    204,997.50x = 17,605,267,466.27
  5. Step 5: Solve for x
    x = 17,605,267,466.27/204,997.50
  6. Step 6: Final answer
    x = 85,880.40

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1.5x scale

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.