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Finding the Fourth Proportional to 181,614, 272,421 and 50,286

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Solution

The fourth proportional to 181,614, 272,421 and 50,286 is: 75,429

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,614 : 272,421 = 50,286 : x
  2. Step 2: Convert to fraction form
    181,614/272,421 = 50,286/x
  3. Step 3: Cross multiply
    181,614x = 272,421 × 50,286
  4. Step 4: Simplify right side
    181,614x = 13,698,962,406
  5. Step 5: Solve for x
    x = 13,698,962,406/181,614
  6. Step 6: Final answer
    x = 75,429

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.