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Finding the Fourth Proportional to 233,231.34, 349,625.34 and 91,167.69

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Solution

The fourth proportional to 233,231.34, 349,625.34 and 91,167.69 is: 136,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,231.34 : 349,625.34 = 91,167.69 : x
  2. Step 2: Convert to fraction form
    233,231.34/349,625.34 = 91,167.69/x
  3. Step 3: Cross multiply
    233,231.34x = 349,625.34 × 91,167.69
  4. Step 4: Simplify right side
    233,231.34x = 31,874,534,613.26
  5. Step 5: Solve for x
    x = 31,874,534,613.26/233,231.34
  6. Step 6: Final answer
    x = 136,664.89

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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.