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Finding the Fourth Proportional to 361,026.30, 541,390.41 and 136,348.50

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Solution

The fourth proportional to 361,026.30, 541,390.41 and 136,348.50 is: 204,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,026.30 : 541,390.41 = 136,348.50 : x
  2. Step 2: Convert to fraction form
    361,026.30/541,390.41 = 136,348.50/x
  3. Step 3: Cross multiply
    361,026.30x = 541,390.41 × 136,348.50
  4. Step 4: Simplify right side
    361,026.30x = 73,817,770,317.89
  5. Step 5: Solve for x
    x = 73,817,770,317.89/361,026.30
  6. Step 6: Final answer
    x = 204,466.46

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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.