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Finding the Fourth Proportional to 171,225.50, 256,838.24 and 114,178.82

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Solution

The fourth proportional to 171,225.50, 256,838.24 and 114,178.82 is: 171,268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,225.50 : 256,838.24 = 114,178.82 : x
  2. Step 2: Convert to fraction form
    171,225.50/256,838.24 = 114,178.82/x
  3. Step 3: Cross multiply
    171,225.50x = 256,838.24 × 114,178.82
  4. Step 4: Simplify right side
    171,225.50x = 29,325,486,175.33
  5. Step 5: Solve for x
    x = 29,325,486,175.33/171,225.50
  6. Step 6: Final answer
    x = 171,268.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.