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Finding the Fourth Proportional to 181,876, 251,023.74 and 102,388

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Solution

The fourth proportional to 181,876, 251,023.74 and 102,388 is: 141,315.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,876 : 251,023.74 = 102,388 : x
  2. Step 2: Convert to fraction form
    181,876/251,023.74 = 102,388/x
  3. Step 3: Cross multiply
    181,876x = 251,023.74 × 102,388
  4. Step 4: Simplify right side
    181,876x = 25,701,818,691.12
  5. Step 5: Solve for x
    x = 25,701,818,691.12/181,876
  6. Step 6: Final answer
    x = 141,315.06

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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.