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Finding the Fourth Proportional to 206,932.70, 310,326.15 and 73,817.30

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Solution

The fourth proportional to 206,932.70, 310,326.15 and 73,817.30 is: 110,699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,932.70 : 310,326.15 = 73,817.30 : x
  2. Step 2: Convert to fraction form
    206,932.70/310,326.15 = 73,817.30/x
  3. Step 3: Cross multiply
    206,932.70x = 310,326.15 × 73,817.30
  4. Step 4: Simplify right side
    206,932.70x = 22,907,438,512.40
  5. Step 5: Solve for x
    x = 22,907,438,512.40/206,932.70
  6. Step 6: Final answer
    x = 110,699.95

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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.