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Finding the Fourth Proportional to 282,086.44, 389,289.78 and 167,424.52

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Solution

The fourth proportional to 282,086.44, 389,289.78 and 167,424.52 is: 231,052.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,086.44 : 389,289.78 = 167,424.52 : x
  2. Step 2: Convert to fraction form
    282,086.44/389,289.78 = 167,424.52/x
  3. Step 3: Cross multiply
    282,086.44x = 389,289.78 × 167,424.52
  4. Step 4: Simplify right side
    282,086.44x = 65,176,654,557.41
  5. Step 5: Solve for x
    x = 65,176,654,557.41/282,086.44
  6. Step 6: Final answer
    x = 231,052.07

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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.