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Finding the Fourth Proportional to 233,147.23, 321,755.02 and 137,651.87

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Solution

The fourth proportional to 233,147.23, 321,755.02 and 137,651.87 is: 189,966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,147.23 : 321,755.02 = 137,651.87 : x
  2. Step 2: Convert to fraction form
    233,147.23/321,755.02 = 137,651.87/x
  3. Step 3: Cross multiply
    233,147.23x = 321,755.02 × 137,651.87
  4. Step 4: Simplify right side
    233,147.23x = 44,290,180,645.15
  5. Step 5: Solve for x
    x = 44,290,180,645.15/233,147.23
  6. Step 6: Final answer
    x = 189,966.58

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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.