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Finding the Fourth Proportional to 206,724.60, 310,086.90 and 160,068.60

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Solution

The fourth proportional to 206,724.60, 310,086.90 and 160,068.60 is: 240,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,724.60 : 310,086.90 = 160,068.60 : x
  2. Step 2: Convert to fraction form
    206,724.60/310,086.90 = 160,068.60/x
  3. Step 3: Cross multiply
    206,724.60x = 310,086.90 × 160,068.60
  4. Step 4: Simplify right side
    206,724.60x = 49,635,175,961.34
  5. Step 5: Solve for x
    x = 49,635,175,961.34/206,724.60
  6. Step 6: Final answer
    x = 240,102.90

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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.