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Finding the Fourth Proportional to 262,707.75, 394,024.68 and 85,216.32

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Solution

The fourth proportional to 262,707.75, 394,024.68 and 85,216.32 is: 127,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,707.75 : 394,024.68 = 85,216.32 : x
  2. Step 2: Convert to fraction form
    262,707.75/394,024.68 = 85,216.32/x
  3. Step 3: Cross multiply
    262,707.75x = 394,024.68 × 85,216.32
  4. Step 4: Simplify right side
    262,707.75x = 33,577,333,218.78
  5. Step 5: Solve for x
    x = 33,577,333,218.78/262,707.75
  6. Step 6: Final answer
    x = 127,812.50

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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.