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Finding the Fourth Proportional to 201,906.20, 302,859.30 and 181,861.40

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Solution

The fourth proportional to 201,906.20, 302,859.30 and 181,861.40 is: 272,792.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,906.20 : 302,859.30 = 181,861.40 : x
  2. Step 2: Convert to fraction form
    201,906.20/302,859.30 = 181,861.40/x
  3. Step 3: Cross multiply
    201,906.20x = 302,859.30 × 181,861.40
  4. Step 4: Simplify right side
    201,906.20x = 55,078,416,301.02
  5. Step 5: Solve for x
    x = 55,078,416,301.02/201,906.20
  6. Step 6: Final answer
    x = 272,792.10

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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.