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Finding the Fourth Proportional to 181,233, 250,101.54 and 101,745

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Solution

The fourth proportional to 181,233, 250,101.54 and 101,745 is: 140,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,233 : 250,101.54 = 101,745 : x
  2. Step 2: Convert to fraction form
    181,233/250,101.54 = 101,745/x
  3. Step 3: Cross multiply
    181,233x = 250,101.54 × 101,745
  4. Step 4: Simplify right side
    181,233x = 25,446,581,187.30
  5. Step 5: Solve for x
    x = 25,446,581,187.30/181,233
  6. Step 6: Final answer
    x = 140,408.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.