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Finding the Fourth Proportional to 114,055.86, 171,086.19 and 35,169.96

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Solution

The fourth proportional to 114,055.86, 171,086.19 and 35,169.96 is: 52,755.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,055.86 : 171,086.19 = 35,169.96 : x
  2. Step 2: Convert to fraction form
    114,055.86/171,086.19 = 35,169.96/x
  3. Step 3: Cross multiply
    114,055.86x = 171,086.19 × 35,169.96
  4. Step 4: Simplify right side
    114,055.86x = 6,017,094,458.85
  5. Step 5: Solve for x
    x = 6,017,094,458.85/114,055.86
  6. Step 6: Final answer
    x = 52,755.68

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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.