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Finding the Fourth Proportional to 196,485.46, 271,149.92 and 107,061.46

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Solution

The fourth proportional to 196,485.46, 271,149.92 and 107,061.46 is: 147,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,485.46 : 271,149.92 = 107,061.46 : x
  2. Step 2: Convert to fraction form
    196,485.46/271,149.92 = 107,061.46/x
  3. Step 3: Cross multiply
    196,485.46x = 271,149.92 × 107,061.46
  4. Step 4: Simplify right side
    196,485.46x = 29,029,706,314.08
  5. Step 5: Solve for x
    x = 29,029,706,314.08/196,485.46
  6. Step 6: Final answer
    x = 147,744.81

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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.