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Finding the Fourth Proportional to 196,792.96, 271,572.90 and 111,910

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Solution

The fourth proportional to 196,792.96, 271,572.90 and 111,910 is: 154,435.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,792.96 : 271,572.90 = 111,910 : x
  2. Step 2: Convert to fraction form
    196,792.96/271,572.90 = 111,910/x
  3. Step 3: Cross multiply
    196,792.96x = 271,572.90 × 111,910
  4. Step 4: Simplify right side
    196,792.96x = 30,391,723,239.00
  5. Step 5: Solve for x
    x = 30,391,723,239.00/196,792.96
  6. Step 6: Final answer
    x = 154,435.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.