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Finding the Fourth Proportional to 293,257.89, 404,695.68 and 159,121.89

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Solution

The fourth proportional to 293,257.89, 404,695.68 and 159,121.89 is: 219,588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,257.89 : 404,695.68 = 159,121.89 : x
  2. Step 2: Convert to fraction form
    293,257.89/404,695.68 = 159,121.89/x
  3. Step 3: Cross multiply
    293,257.89x = 404,695.68 × 159,121.89
  4. Step 4: Simplify right side
    293,257.89x = 64,395,941,476.44
  5. Step 5: Solve for x
    x = 64,395,941,476.44/293,257.89
  6. Step 6: Final answer
    x = 219,588.10

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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.