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Finding the Fourth Proportional to 196,416.34, 294,753.63 and 107,732

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Solution

The fourth proportional to 196,416.34, 294,753.63 and 107,732 is: 161,668.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,416.34 : 294,753.63 = 107,732 : x
  2. Step 2: Convert to fraction form
    196,416.34/294,753.63 = 107,732/x
  3. Step 3: Cross multiply
    196,416.34x = 294,753.63 × 107,732
  4. Step 4: Simplify right side
    196,416.34x = 31,754,398,067.16
  5. Step 5: Solve for x
    x = 31,754,398,067.16/196,416.34
  6. Step 6: Final answer
    x = 161,668.82

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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.