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Finding the Fourth Proportional to 293,642.26, 405,215.49 and 159,503.38

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Solution

The fourth proportional to 293,642.26, 405,215.49 and 159,503.38 is: 220,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,642.26 : 405,215.49 = 159,503.38 : x
  2. Step 2: Convert to fraction form
    293,642.26/405,215.49 = 159,503.38/x
  3. Step 3: Cross multiply
    293,642.26x = 405,215.49 × 159,503.38
  4. Step 4: Simplify right side
    293,642.26x = 64,633,240,283.36
  5. Step 5: Solve for x
    x = 64,633,240,283.36/293,642.26
  6. Step 6: Final answer
    x = 220,108.78

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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.