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Finding the Fourth Proportional to 233,732.50, 350,241.98 and 138,775.69

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Solution

The fourth proportional to 233,732.50, 350,241.98 and 138,775.69 is: 207,951.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,732.50 : 350,241.98 = 138,775.69 : x
  2. Step 2: Convert to fraction form
    233,732.50/350,241.98 = 138,775.69/x
  3. Step 3: Cross multiply
    233,732.50x = 350,241.98 × 138,775.69
  4. Step 4: Simplify right side
    233,732.50x = 48,605,071,912.80
  5. Step 5: Solve for x
    x = 48,605,071,912.80/233,732.50
  6. Step 6: Final answer
    x = 207,951.71

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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.