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Finding the Fourth Proportional to 131,233, 181,103.46 and 71,617

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Solution

The fourth proportional to 131,233, 181,103.46 and 71,617 is: 98,832.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,233 : 181,103.46 = 71,617 : x
  2. Step 2: Convert to fraction form
    131,233/181,103.46 = 71,617/x
  3. Step 3: Cross multiply
    131,233x = 181,103.46 × 71,617
  4. Step 4: Simplify right side
    131,233x = 12,970,086,494.82
  5. Step 5: Solve for x
    x = 12,970,086,494.82/131,233
  6. Step 6: Final answer
    x = 98,832.51

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