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Finding the Fourth Proportional to 282,029.55, 389,137.81 and 167,249.86

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Solution

The fourth proportional to 282,029.55, 389,137.81 and 167,249.86 is: 230,767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,029.55 : 389,137.81 = 167,249.86 : x
  2. Step 2: Convert to fraction form
    282,029.55/389,137.81 = 167,249.86/x
  3. Step 3: Cross multiply
    282,029.55x = 389,137.81 × 167,249.86
  4. Step 4: Simplify right side
    282,029.55x = 65,083,244,243.21
  5. Step 5: Solve for x
    x = 65,083,244,243.21/282,029.55
  6. Step 6: Final answer
    x = 230,767.47

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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.