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Finding the Fourth Proportional to 233,637.96, 350,486.09 and 91,464.87

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Solution

The fourth proportional to 233,637.96, 350,486.09 and 91,464.87 is: 137,208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,637.96 : 350,486.09 = 91,464.87 : x
  2. Step 2: Convert to fraction form
    233,637.96/350,486.09 = 91,464.87/x
  3. Step 3: Cross multiply
    233,637.96x = 350,486.09 × 91,464.87
  4. Step 4: Simplify right side
    233,637.96x = 32,057,164,201.33
  5. Step 5: Solve for x
    x = 32,057,164,201.33/233,637.96
  6. Step 6: Final answer
    x = 137,208.71

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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.