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Finding the Fourth Proportional to 233,561.43, 322,321.23 and 142,915.77

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Solution

The fourth proportional to 233,561.43, 322,321.23 and 142,915.77 is: 197,227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,561.43 : 322,321.23 = 142,915.77 : x
  2. Step 2: Convert to fraction form
    233,561.43/322,321.23 = 142,915.77/x
  3. Step 3: Cross multiply
    233,561.43x = 322,321.23 × 142,915.77
  4. Step 4: Simplify right side
    233,561.43x = 46,064,786,772.80
  5. Step 5: Solve for x
    x = 46,064,786,772.80/233,561.43
  6. Step 6: Final answer
    x = 197,227.71

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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.