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Finding the Fourth Proportional to 182,151.08, 251,369.82 and 101,583.80

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Solution

The fourth proportional to 182,151.08, 251,369.82 and 101,583.80 is: 140,186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,151.08 : 251,369.82 = 101,583.80 : x
  2. Step 2: Convert to fraction form
    182,151.08/251,369.82 = 101,583.80/x
  3. Step 3: Cross multiply
    182,151.08x = 251,369.82 × 101,583.80
  4. Step 4: Simplify right side
    182,151.08x = 25,535,101,520.92
  5. Step 5: Solve for x
    x = 25,535,101,520.92/182,151.08
  6. Step 6: Final answer
    x = 140,186.39

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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.