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Finding the Fourth Proportional to 233,321.81, 350,033.75 and 75,566.21

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Solution

The fourth proportional to 233,321.81, 350,033.75 and 75,566.21 is: 113,365.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,321.81 : 350,033.75 = 75,566.21 : x
  2. Step 2: Convert to fraction form
    233,321.81/350,033.75 = 75,566.21/x
  3. Step 3: Cross multiply
    233,321.81x = 350,033.75 × 75,566.21
  4. Step 4: Simplify right side
    233,321.81x = 26,450,723,859.59
  5. Step 5: Solve for x
    x = 26,450,723,859.59/233,321.81
  6. Step 6: Final answer
    x = 113,365.84

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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.