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Finding the Fourth Proportional to 361,026.80, 541,391.16 and 136,349

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Solution

The fourth proportional to 361,026.80, 541,391.16 and 136,349 is: 204,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,026.80 : 541,391.16 = 136,349 : x
  2. Step 2: Convert to fraction form
    361,026.80/541,391.16 = 136,349/x
  3. Step 3: Cross multiply
    361,026.80x = 541,391.16 × 136,349
  4. Step 4: Simplify right side
    361,026.80x = 73,818,143,274.84
  5. Step 5: Solve for x
    x = 73,818,143,274.84/361,026.80
  6. Step 6: Final answer
    x = 204,467.21

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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.