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Finding the Fourth Proportional to 196,398.68, 294,727.01 and 107,714.41

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Solution

The fourth proportional to 196,398.68, 294,727.01 and 107,714.41 is: 161,642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,398.68 : 294,727.01 = 107,714.41 : x
  2. Step 2: Convert to fraction form
    196,398.68/294,727.01 = 107,714.41/x
  3. Step 3: Cross multiply
    196,398.68x = 294,727.01 × 107,714.41
  4. Step 4: Simplify right side
    196,398.68x = 31,746,344,717.82
  5. Step 5: Solve for x
    x = 31,746,344,717.82/196,398.68
  6. Step 6: Final answer
    x = 161,642.36

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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.