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Finding the Fourth Proportional to 254,816.82, 382,227.54 and 77,323.83

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Solution

The fourth proportional to 254,816.82, 382,227.54 and 77,323.83 is: 115,986.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,816.82 : 382,227.54 = 77,323.83 : x
  2. Step 2: Convert to fraction form
    254,816.82/382,227.54 = 77,323.83/x
  3. Step 3: Cross multiply
    254,816.82x = 382,227.54 × 77,323.83
  4. Step 4: Simplify right side
    254,816.82x = 29,555,299,073.75
  5. Step 5: Solve for x
    x = 29,555,299,073.75/254,816.82
  6. Step 6: Final answer
    x = 115,986.45

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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.