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Finding the Fourth Proportional to 262,881.96, 394,355.70 and 102,937.24

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Solution

The fourth proportional to 262,881.96, 394,355.70 and 102,937.24 is: 154,418.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,881.96 : 394,355.70 = 102,937.24 : x
  2. Step 2: Convert to fraction form
    262,881.96/394,355.70 = 102,937.24/x
  3. Step 3: Cross multiply
    262,881.96x = 394,355.70 × 102,937.24
  4. Step 4: Simplify right side
    262,881.96x = 40,593,887,336.27
  5. Step 5: Solve for x
    x = 40,593,887,336.27/262,881.96
  6. Step 6: Final answer
    x = 154,418.69

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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.