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Finding the Fourth Proportional to 231,716.94, 319,742.94 and 129,728.22

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Solution

The fourth proportional to 231,716.94, 319,742.94 and 129,728.22 is: 179,010.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,716.94 : 319,742.94 = 129,728.22 : x
  2. Step 2: Convert to fraction form
    231,716.94/319,742.94 = 129,728.22/x
  3. Step 3: Cross multiply
    231,716.94x = 319,742.94 × 129,728.22
  4. Step 4: Simplify right side
    231,716.94x = 41,479,682,463.77
  5. Step 5: Solve for x
    x = 41,479,682,463.77/231,716.94
  6. Step 6: Final answer
    x = 179,010.14

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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.