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Finding the Fourth Proportional to 206,735.39, 310,124.52 and 56,975.70

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Solution

The fourth proportional to 206,735.39, 310,124.52 and 56,975.70 is: 85,469.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,735.39 : 310,124.52 = 56,975.70 : x
  2. Step 2: Convert to fraction form
    206,735.39/310,124.52 = 56,975.70/x
  3. Step 3: Cross multiply
    206,735.39x = 310,124.52 × 56,975.70
  4. Step 4: Simplify right side
    206,735.39x = 17,669,561,614.16
  5. Step 5: Solve for x
    x = 17,669,561,614.16/206,735.39
  6. Step 6: Final answer
    x = 85,469.46

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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.