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Finding the Fourth Proportional to 233,685.94, 350,388.68 and 107,167.70

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Solution

The fourth proportional to 233,685.94, 350,388.68 and 107,167.70 is: 160,687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,685.94 : 350,388.68 = 107,167.70 : x
  2. Step 2: Convert to fraction form
    233,685.94/350,388.68 = 107,167.70/x
  3. Step 3: Cross multiply
    233,685.94x = 350,388.68 × 107,167.70
  4. Step 4: Simplify right side
    233,685.94x = 37,550,348,405.80
  5. Step 5: Solve for x
    x = 37,550,348,405.80/233,685.94
  6. Step 6: Final answer
    x = 160,687.24

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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.