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Finding the Fourth Proportional to 196,423.79, 271,064.88 and 106,999.79

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Solution

The fourth proportional to 196,423.79, 271,064.88 and 106,999.79 is: 147,659.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,423.79 : 271,064.88 = 106,999.79 : x
  2. Step 2: Convert to fraction form
    196,423.79/271,064.88 = 106,999.79/x
  3. Step 3: Cross multiply
    196,423.79x = 271,064.88 × 106,999.79
  4. Step 4: Simplify right side
    196,423.79x = 29,003,884,701.38
  5. Step 5: Solve for x
    x = 29,003,884,701.38/196,423.79
  6. Step 6: Final answer
    x = 147,659.73

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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.