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Finding the Fourth Proportional to 171,310.06, 256,964.27 and 114,263.38

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Solution

The fourth proportional to 171,310.06, 256,964.27 and 114,263.38 is: 171,394.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,310.06 : 256,964.27 = 114,263.38 : x
  2. Step 2: Convert to fraction form
    171,310.06/256,964.27 = 114,263.38/x
  3. Step 3: Cross multiply
    171,310.06x = 256,964.27 × 114,263.38
  4. Step 4: Simplify right side
    171,310.06x = 29,361,604,744.61
  5. Step 5: Solve for x
    x = 29,361,604,744.61/171,310.06
  6. Step 6: Final answer
    x = 171,394.52

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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.