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Finding the Fourth Proportional to 137,797.71, 206,616.12 and 53,459.33

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Solution

The fourth proportional to 137,797.71, 206,616.12 and 53,459.33 is: 80,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,797.71 : 206,616.12 = 53,459.33 : x
  2. Step 2: Convert to fraction form
    137,797.71/206,616.12 = 53,459.33/x
  3. Step 3: Cross multiply
    137,797.71x = 206,616.12 × 53,459.33
  4. Step 4: Simplify right side
    137,797.71x = 11,045,558,309.32
  5. Step 5: Solve for x
    x = 11,045,558,309.32/137,797.71
  6. Step 6: Final answer
    x = 80,157.78

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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.