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Finding the Fourth Proportional to 205,040, 307,560 and 57,296

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Solution

The fourth proportional to 205,040, 307,560 and 57,296 is: 85,944

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,040 : 307,560 = 57,296 : x
  2. Step 2: Convert to fraction form
    205,040/307,560 = 57,296/x
  3. Step 3: Cross multiply
    205,040x = 307,560 × 57,296
  4. Step 4: Simplify right side
    205,040x = 17,621,957,760
  5. Step 5: Solve for x
    x = 17,621,957,760/205,040
  6. Step 6: Final answer
    x = 85,944

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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.