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Finding the Fourth Proportional to 182,295.86, 251,621.10 and 105,832.12

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Solution

The fourth proportional to 182,295.86, 251,621.10 and 105,832.12 is: 146,078.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,295.86 : 251,621.10 = 105,832.12 : x
  2. Step 2: Convert to fraction form
    182,295.86/251,621.10 = 105,832.12/x
  3. Step 3: Cross multiply
    182,295.86x = 251,621.10 × 105,832.12
  4. Step 4: Simplify right side
    182,295.86x = 26,629,594,449.73
  5. Step 5: Solve for x
    x = 26,629,594,449.73/182,295.86
  6. Step 6: Final answer
    x = 146,078.99

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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.