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Finding the Fourth Proportional to 233,911.97, 350,717.09 and 91,771.61

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Solution

The fourth proportional to 233,911.97, 350,717.09 and 91,771.61 is: 137,598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,911.97 : 350,717.09 = 91,771.61 : x
  2. Step 2: Convert to fraction form
    233,911.97/350,717.09 = 91,771.61/x
  3. Step 3: Cross multiply
    233,911.97x = 350,717.09 × 91,771.61
  4. Step 4: Simplify right side
    233,911.97x = 32,185,870,479.66
  5. Step 5: Solve for x
    x = 32,185,870,479.66/233,911.97
  6. Step 6: Final answer
    x = 137,598.22

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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.