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Finding the Fourth Proportional to 293,741.75, 405,366.05 and 159,605.75

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Solution

The fourth proportional to 293,741.75, 405,366.05 and 159,605.75 is: 220,257.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,741.75 : 405,366.05 = 159,605.75 : x
  2. Step 2: Convert to fraction form
    293,741.75/405,366.05 = 159,605.75/x
  3. Step 3: Cross multiply
    293,741.75x = 405,366.05 × 159,605.75
  4. Step 4: Simplify right side
    293,741.75x = 64,698,752,434.79
  5. Step 5: Solve for x
    x = 64,698,752,434.79/293,741.75
  6. Step 6: Final answer
    x = 220,257.26

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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.