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Finding the Fourth Proportional to 233,920.21, 322,811.83 and 129,147.53

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Solution

The fourth proportional to 233,920.21, 322,811.83 and 129,147.53 is: 178,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,920.21 : 322,811.83 = 129,147.53 : x
  2. Step 2: Convert to fraction form
    233,920.21/322,811.83 = 129,147.53/x
  3. Step 3: Cross multiply
    233,920.21x = 322,811.83 × 129,147.53
  4. Step 4: Simplify right side
    233,920.21x = 41,690,350,136.02
  5. Step 5: Solve for x
    x = 41,690,350,136.02/233,920.21
  6. Step 6: Final answer
    x = 178,224.66

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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.