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Finding the Fourth Proportional to 408,593.88, 612,890.82 and 128,133

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Solution

The fourth proportional to 408,593.88, 612,890.82 and 128,133 is: 192,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,593.88 : 612,890.82 = 128,133 : x
  2. Step 2: Convert to fraction form
    408,593.88/612,890.82 = 128,133/x
  3. Step 3: Cross multiply
    408,593.88x = 612,890.82 × 128,133
  4. Step 4: Simplify right side
    408,593.88x = 78,531,539,439.06
  5. Step 5: Solve for x
    x = 78,531,539,439.06/408,593.88
  6. Step 6: Final answer
    x = 192,199.50

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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.