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Finding the Fourth Proportional to 204,810.75, 307,267.97 and 57,066.75

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Solution

The fourth proportional to 204,810.75, 307,267.97 and 57,066.75 is: 85,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,810.75 : 307,267.97 = 57,066.75 : x
  2. Step 2: Convert to fraction form
    204,810.75/307,267.97 = 57,066.75/x
  3. Step 3: Cross multiply
    204,810.75x = 307,267.97 × 57,066.75
  4. Step 4: Simplify right side
    204,810.75x = 17,534,784,141.66
  5. Step 5: Solve for x
    x = 17,534,784,141.66/204,810.75
  6. Step 6: Final answer
    x = 85,614.57

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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.