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Finding the Fourth Proportional to 293,767.75, 405,402.06 and 159,631.75

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Solution

The fourth proportional to 293,767.75, 405,402.06 and 159,631.75 is: 220,293.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,767.75 : 405,402.06 = 159,631.75 : x
  2. Step 2: Convert to fraction form
    293,767.75/405,402.06 = 159,631.75/x
  3. Step 3: Cross multiply
    293,767.75x = 405,402.06 × 159,631.75
  4. Step 4: Simplify right side
    293,767.75x = 64,715,040,291.41
  5. Step 5: Solve for x
    x = 64,715,040,291.41/293,767.75
  6. Step 6: Final answer
    x = 220,293.21

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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.