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Finding the Fourth Proportional to 182,578.01, 251,914.46 and 106,051.64

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Solution

The fourth proportional to 182,578.01, 251,914.46 and 106,051.64 is: 146,326.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,578.01 : 251,914.46 = 106,051.64 : x
  2. Step 2: Convert to fraction form
    182,578.01/251,914.46 = 106,051.64/x
  3. Step 3: Cross multiply
    182,578.01x = 251,914.46 × 106,051.64
  4. Step 4: Simplify right side
    182,578.01x = 26,715,942,517.63
  5. Step 5: Solve for x
    x = 26,715,942,517.63/182,578.01
  6. Step 6: Final answer
    x = 146,326.18

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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.