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Finding the Fourth Proportional to 233,563.97, 350,346.18 and 65,084.78

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Solution

The fourth proportional to 233,563.97, 350,346.18 and 65,084.78 is: 97,627.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,563.97 : 350,346.18 = 65,084.78 : x
  2. Step 2: Convert to fraction form
    233,563.97/350,346.18 = 65,084.78/x
  3. Step 3: Cross multiply
    233,563.97x = 350,346.18 × 65,084.78
  4. Step 4: Simplify right side
    233,563.97x = 22,802,202,297.41
  5. Step 5: Solve for x
    x = 22,802,202,297.41/233,563.97
  6. Step 6: Final answer
    x = 97,627.23

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Why These Related Problems?

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