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Finding the Fourth Proportional to 206,976.84, 285,630.58 and 116,327.50

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Solution

The fourth proportional to 206,976.84, 285,630.58 and 116,327.50 is: 160,533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,976.84 : 285,630.58 = 116,327.50 : x
  2. Step 2: Convert to fraction form
    206,976.84/285,630.58 = 116,327.50/x
  3. Step 3: Cross multiply
    206,976.84x = 285,630.58 × 116,327.50
  4. Step 4: Simplify right side
    206,976.84x = 33,226,691,294.95
  5. Step 5: Solve for x
    x = 33,226,691,294.95/206,976.84
  6. Step 6: Final answer
    x = 160,533.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.