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Finding the Fourth Proportional to 361,221.84, 541,570.32 and 150,919.92

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Solution

The fourth proportional to 361,221.84, 541,570.32 and 150,919.92 is: 226,270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,221.84 : 541,570.32 = 150,919.92 : x
  2. Step 2: Convert to fraction form
    361,221.84/541,570.32 = 150,919.92/x
  3. Step 3: Cross multiply
    361,221.84x = 541,570.32 × 150,919.92
  4. Step 4: Simplify right side
    361,221.84x = 81,733,749,368.77
  5. Step 5: Solve for x
    x = 81,733,749,368.77/361,221.84
  6. Step 6: Final answer
    x = 226,270.23

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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.