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Finding the Fourth Proportional to 181,392, 272,103.68 and 50,064

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Solution

The fourth proportional to 181,392, 272,103.68 and 50,064 is: 75,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,392 : 272,103.68 = 50,064 : x
  2. Step 2: Convert to fraction form
    181,392/272,103.68 = 50,064/x
  3. Step 3: Cross multiply
    181,392x = 272,103.68 × 50,064
  4. Step 4: Simplify right side
    181,392x = 13,622,598,635.52
  5. Step 5: Solve for x
    x = 13,622,598,635.52/181,392
  6. Step 6: Final answer
    x = 75,100.33

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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.