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Finding the Fourth Proportional to 201,906.15, 302,859.23 and 96,670.95

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Solution

The fourth proportional to 201,906.15, 302,859.23 and 96,670.95 is: 145,006.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,906.15 : 302,859.23 = 96,670.95 : x
  2. Step 2: Convert to fraction form
    201,906.15/302,859.23 = 96,670.95/x
  3. Step 3: Cross multiply
    201,906.15x = 302,859.23 × 96,670.95
  4. Step 4: Simplify right side
    201,906.15x = 29,277,688,997.01
  5. Step 5: Solve for x
    x = 29,277,688,997.01/201,906.15
  6. Step 6: Final answer
    x = 145,006.43

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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.