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Finding the Fourth Proportional to 223,691.63, 308,694.44 and 123,089.63

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Solution

The fourth proportional to 223,691.63, 308,694.44 and 123,089.63 is: 169,863.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,691.63 : 308,694.44 = 123,089.63 : x
  2. Step 2: Convert to fraction form
    223,691.63/308,694.44 = 123,089.63/x
  3. Step 3: Cross multiply
    223,691.63x = 308,694.44 × 123,089.63
  4. Step 4: Simplify right side
    223,691.63x = 37,997,083,166.91
  5. Step 5: Solve for x
    x = 37,997,083,166.91/223,691.63
  6. Step 6: Final answer
    x = 169,863.68

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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.