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Finding the Fourth Proportional to 181,616, 272,424 and 50,288

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Solution

The fourth proportional to 181,616, 272,424 and 50,288 is: 75,432

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,616 : 272,424 = 50,288 : x
  2. Step 2: Convert to fraction form
    181,616/272,424 = 50,288/x
  3. Step 3: Cross multiply
    181,616x = 272,424 × 50,288
  4. Step 4: Simplify right side
    181,616x = 13,699,658,112
  5. Step 5: Solve for x
    x = 13,699,658,112/181,616
  6. Step 6: Final answer
    x = 75,432

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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.