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Finding the Fourth Proportional to 360,971.80, 541,308.54 and 136,294.12

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Solution

The fourth proportional to 360,971.80, 541,308.54 and 136,294.12 is: 204,384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,971.80 : 541,308.54 = 136,294.12 : x
  2. Step 2: Convert to fraction form
    360,971.80/541,308.54 = 136,294.12/x
  3. Step 3: Cross multiply
    360,971.80x = 541,308.54 × 136,294.12
  4. Step 4: Simplify right side
    360,971.80x = 73,777,171,107.78
  5. Step 5: Solve for x
    x = 73,777,171,107.78/360,971.80
  6. Step 6: Final answer
    x = 204,384.86

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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.