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Finding the Fourth Proportional to 181,372, 272,073.68 and 50,044

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Solution

The fourth proportional to 181,372, 272,073.68 and 50,044 is: 75,070.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,372 : 272,073.68 = 50,044 : x
  2. Step 2: Convert to fraction form
    181,372/272,073.68 = 50,044/x
  3. Step 3: Cross multiply
    181,372x = 272,073.68 × 50,044
  4. Step 4: Simplify right side
    181,372x = 13,615,655,241.92
  5. Step 5: Solve for x
    x = 13,615,655,241.92/181,372
  6. Step 6: Final answer
    x = 75,070.33

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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.