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Finding the Fourth Proportional to 182,596.88, 251,967.31 and 102,013.22

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Solution

The fourth proportional to 182,596.88, 251,967.31 and 102,013.22 is: 140,769.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,596.88 : 251,967.31 = 102,013.22 : x
  2. Step 2: Convert to fraction form
    182,596.88/251,967.31 = 102,013.22/x
  3. Step 3: Cross multiply
    182,596.88x = 251,967.31 × 102,013.22
  4. Step 4: Simplify right side
    182,596.88x = 25,703,997,002.72
  5. Step 5: Solve for x
    x = 25,703,997,002.72/182,596.88
  6. Step 6: Final answer
    x = 140,769.09

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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.