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Finding the Fourth Proportional to 205,324.16, 307,997.20 and 65,093.76

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Solution

The fourth proportional to 205,324.16, 307,997.20 and 65,093.76 is: 97,644.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,324.16 : 307,997.20 = 65,093.76 : x
  2. Step 2: Convert to fraction form
    205,324.16/307,997.20 = 65,093.76/x
  3. Step 3: Cross multiply
    205,324.16x = 307,997.20 × 65,093.76
  4. Step 4: Simplify right side
    205,324.16x = 20,048,695,817.47
  5. Step 5: Solve for x
    x = 20,048,695,817.47/205,324.16
  6. Step 6: Final answer
    x = 97,644.11

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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.