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Finding the Fourth Proportional to 233,542.96, 350,428.92 and 144,772.96

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Solution

The fourth proportional to 233,542.96, 350,428.92 and 144,772.96 is: 217,230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,542.96 : 350,428.92 = 144,772.96 : x
  2. Step 2: Convert to fraction form
    233,542.96/350,428.92 = 144,772.96/x
  3. Step 3: Cross multiply
    233,542.96x = 350,428.92 × 144,772.96
  4. Step 4: Simplify right side
    233,542.96x = 50,732,632,018.00
  5. Step 5: Solve for x
    x = 50,732,632,018.00/233,542.96
  6. Step 6: Final answer
    x = 217,230.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.