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Finding the Fourth Proportional to 233,406.96, 350,147.46 and 83,644.02

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Solution

The fourth proportional to 233,406.96, 350,147.46 and 83,644.02 is: 125,479.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,406.96 : 350,147.46 = 83,644.02 : x
  2. Step 2: Convert to fraction form
    233,406.96/350,147.46 = 83,644.02/x
  3. Step 3: Cross multiply
    233,406.96x = 350,147.46 × 83,644.02
  4. Step 4: Simplify right side
    233,406.96x = 29,287,741,147.19
  5. Step 5: Solve for x
    x = 29,287,741,147.19/233,406.96
  6. Step 6: Final answer
    x = 125,479.30

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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.