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Finding the Fourth Proportional to 293,250, 404,687.16 and 159,114

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Solution

The fourth proportional to 293,250, 404,687.16 and 159,114 is: 219,578.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,250 : 404,687.16 = 159,114 : x
  2. Step 2: Convert to fraction form
    293,250/404,687.16 = 159,114/x
  3. Step 3: Cross multiply
    293,250x = 404,687.16 × 159,114
  4. Step 4: Simplify right side
    293,250x = 64,391,392,776.24
  5. Step 5: Solve for x
    x = 64,391,392,776.24/293,250
  6. Step 6: Final answer
    x = 219,578.49

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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.