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Finding the Fourth Proportional to 262,859.40, 394,073.10 and 113,214.60

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Solution

The fourth proportional to 262,859.40, 394,073.10 and 113,214.60 is: 169,728.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,859.40 : 394,073.10 = 113,214.60 : x
  2. Step 2: Convert to fraction form
    262,859.40/394,073.10 = 113,214.60/x
  3. Step 3: Cross multiply
    262,859.40x = 394,073.10 × 113,214.60
  4. Step 4: Simplify right side
    262,859.40x = 44,614,828,387.26
  5. Step 5: Solve for x
    x = 44,614,828,387.26/262,859.40
  6. Step 6: Final answer
    x = 169,728.87

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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.