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Finding the Fourth Proportional to 295,143.26, 407,295.82 and 167,818.85

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Solution

The fourth proportional to 295,143.26, 407,295.82 and 167,818.85 is: 231,588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,143.26 : 407,295.82 = 167,818.85 : x
  2. Step 2: Convert to fraction form
    295,143.26/407,295.82 = 167,818.85/x
  3. Step 3: Cross multiply
    295,143.26x = 407,295.82 × 167,818.85
  4. Step 4: Simplify right side
    295,143.26x = 68,351,916,720.90
  5. Step 5: Solve for x
    x = 68,351,916,720.90/295,143.26
  6. Step 6: Final answer
    x = 231,588.94

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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.