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Finding the Fourth Proportional to 181,951.39, 272,889.50 and 48,800

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Solution

The fourth proportional to 181,951.39, 272,889.50 and 48,800 is: 73,189.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,951.39 : 272,889.50 = 48,800 : x
  2. Step 2: Convert to fraction form
    181,951.39/272,889.50 = 48,800/x
  3. Step 3: Cross multiply
    181,951.39x = 272,889.50 × 48,800
  4. Step 4: Simplify right side
    181,951.39x = 13,317,007,600
  5. Step 5: Solve for x
    x = 13,317,007,600/181,951.39
  6. Step 6: Final answer
    x = 73,189.92

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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.