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Finding the Fourth Proportional to 196,695.72, 294,971.22 and 70,301.79

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Solution

The fourth proportional to 196,695.72, 294,971.22 and 70,301.79 is: 105,426.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,695.72 : 294,971.22 = 70,301.79 : x
  2. Step 2: Convert to fraction form
    196,695.72/294,971.22 = 70,301.79/x
  3. Step 3: Cross multiply
    196,695.72x = 294,971.22 × 70,301.79
  4. Step 4: Simplify right side
    196,695.72x = 20,737,004,764.48
  5. Step 5: Solve for x
    x = 20,737,004,764.48/196,695.72
  6. Step 6: Final answer
    x = 105,426.82

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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.