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Finding the Fourth Proportional to 206,958.54, 310,178.22 and 88,490.82

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Solution

The fourth proportional to 206,958.54, 310,178.22 and 88,490.82 is: 132,625.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,958.54 : 310,178.22 = 88,490.82 : x
  2. Step 2: Convert to fraction form
    206,958.54/310,178.22 = 88,490.82/x
  3. Step 3: Cross multiply
    206,958.54x = 310,178.22 × 88,490.82
  4. Step 4: Simplify right side
    206,958.54x = 27,447,925,033.94
  5. Step 5: Solve for x
    x = 27,447,925,033.94/206,958.54
  6. Step 6: Final answer
    x = 132,625.24

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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.