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Finding the Fourth Proportional to 293,256.38, 404,693.62 and 159,120.38

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Solution

The fourth proportional to 293,256.38, 404,693.62 and 159,120.38 is: 219,586.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,256.38 : 404,693.62 = 159,120.38 : x
  2. Step 2: Convert to fraction form
    293,256.38/404,693.62 = 159,120.38/x
  3. Step 3: Cross multiply
    293,256.38x = 404,693.62 × 159,120.38
  4. Step 4: Simplify right side
    293,256.38x = 64,395,003,211.91
  5. Step 5: Solve for x
    x = 64,395,003,211.91/293,256.38
  6. Step 6: Final answer
    x = 219,586.02

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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.