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Finding the Fourth Proportional to 240,542.60, 360,846.30 and 82,819.40

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Solution

The fourth proportional to 240,542.60, 360,846.30 and 82,819.40 is: 124,240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,542.60 : 360,846.30 = 82,819.40 : x
  2. Step 2: Convert to fraction form
    240,542.60/360,846.30 = 82,819.40/x
  3. Step 3: Cross multiply
    240,542.60x = 360,846.30 × 82,819.40
  4. Step 4: Simplify right side
    240,542.60x = 29,885,074,058.22
  5. Step 5: Solve for x
    x = 29,885,074,058.22/240,542.60
  6. Step 6: Final answer
    x = 124,240.26

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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.