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Finding the Fourth Proportional to 233,682.43, 350,383.43 and 107,164.20

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Solution

The fourth proportional to 233,682.43, 350,383.43 and 107,164.20 is: 160,681.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,682.43 : 350,383.43 = 107,164.20 : x
  2. Step 2: Convert to fraction form
    233,682.43/350,383.43 = 107,164.20/x
  3. Step 3: Cross multiply
    233,682.43x = 350,383.43 × 107,164.20
  4. Step 4: Simplify right side
    233,682.43x = 37,548,558,313.61
  5. Step 5: Solve for x
    x = 37,548,558,313.61/233,682.43
  6. Step 6: Final answer
    x = 160,681.99

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1.5x scale

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.