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Finding the Fourth Proportional to 361,129.32, 541,744.38 and 150,719.08

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Solution

The fourth proportional to 361,129.32, 541,744.38 and 150,719.08 is: 226,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,129.32 : 541,744.38 = 150,719.08 : x
  2. Step 2: Convert to fraction form
    361,129.32/541,744.38 = 150,719.08/x
  3. Step 3: Cross multiply
    361,129.32x = 541,744.38 × 150,719.08
  4. Step 4: Simplify right side
    361,129.32x = 81,651,214,548.77
  5. Step 5: Solve for x
    x = 81,651,214,548.77/361,129.32
  6. Step 6: Final answer
    x = 226,099.65

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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.