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Finding the Fourth Proportional to 181,857.75, 272,786.63 and 55,498.64

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Solution

The fourth proportional to 181,857.75, 272,786.63 and 55,498.64 is: 83,247.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,857.75 : 272,786.63 = 55,498.64 : x
  2. Step 2: Convert to fraction form
    181,857.75/272,786.63 = 55,498.64/x
  3. Step 3: Cross multiply
    181,857.75x = 272,786.63 × 55,498.64
  4. Step 4: Simplify right side
    181,857.75x = 15,139,287,908.55
  5. Step 5: Solve for x
    x = 15,139,287,908.55/181,857.75
  6. Step 6: Final answer
    x = 83,247.97

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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.