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Finding the Fourth Proportional to 231,717.16, 319,776.42 and 131,113

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Solution

The fourth proportional to 231,717.16, 319,776.42 and 131,113 is: 180,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,717.16 : 319,776.42 = 131,113 : x
  2. Step 2: Convert to fraction form
    231,717.16/319,776.42 = 131,113/x
  3. Step 3: Cross multiply
    231,717.16x = 319,776.42 × 131,113
  4. Step 4: Simplify right side
    231,717.16x = 41,926,845,755.46
  5. Step 5: Solve for x
    x = 41,926,845,755.46/231,717.16
  6. Step 6: Final answer
    x = 180,939.75

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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.