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Finding the Fourth Proportional to 118,178.86, 177,268.20 and 35,072.86

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Solution

The fourth proportional to 118,178.86, 177,268.20 and 35,072.86 is: 52,609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,178.86 : 177,268.20 = 35,072.86 : x
  2. Step 2: Convert to fraction form
    118,178.86/177,268.20 = 35,072.86/x
  3. Step 3: Cross multiply
    118,178.86x = 177,268.20 × 35,072.86
  4. Step 4: Simplify right side
    118,178.86x = 6,217,302,761.05
  5. Step 5: Solve for x
    x = 6,217,302,761.05/118,178.86
  6. Step 6: Final answer
    x = 52,609.26

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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.