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Finding the Fourth Proportional to 361,718.96, 542,143.22 and 133,832.88

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Solution

The fourth proportional to 361,718.96, 542,143.22 and 133,832.88 is: 200,588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,718.96 : 542,143.22 = 133,832.88 : x
  2. Step 2: Convert to fraction form
    361,718.96/542,143.22 = 133,832.88/x
  3. Step 3: Cross multiply
    361,718.96x = 542,143.22 × 133,832.88
  4. Step 4: Simplify right side
    361,718.96x = 72,556,588,505.07
  5. Step 5: Solve for x
    x = 72,556,588,505.07/361,718.96
  6. Step 6: Final answer
    x = 200,588.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.