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Finding the Fourth Proportional to 233,135.61, 321,738.96 and 137,640.26

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Solution

The fourth proportional to 233,135.61, 321,738.96 and 137,640.26 is: 189,950.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,135.61 : 321,738.96 = 137,640.26 : x
  2. Step 2: Convert to fraction form
    233,135.61/321,738.96 = 137,640.26/x
  3. Step 3: Cross multiply
    233,135.61x = 321,738.96 × 137,640.26
  4. Step 4: Simplify right side
    233,135.61x = 44,284,232,497.83
  5. Step 5: Solve for x
    x = 44,284,232,497.83/233,135.61
  6. Step 6: Final answer
    x = 189,950.53

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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.