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Finding the Fourth Proportional to 262,254, 361,910.88 and 143,022

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Solution

The fourth proportional to 262,254, 361,910.88 and 143,022 is: 197,370.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,254 : 361,910.88 = 143,022 : x
  2. Step 2: Convert to fraction form
    262,254/361,910.88 = 143,022/x
  3. Step 3: Cross multiply
    262,254x = 361,910.88 × 143,022
  4. Step 4: Simplify right side
    262,254x = 51,761,217,879.36
  5. Step 5: Solve for x
    x = 51,761,217,879.36/262,254
  6. Step 6: Final answer
    x = 197,370.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.