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Finding the Fourth Proportional to 206,796.35, 310,460.16 and 159,441.53

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Solution

The fourth proportional to 206,796.35, 310,460.16 and 159,441.53 is: 239,367.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,796.35 : 310,460.16 = 159,441.53 : x
  2. Step 2: Convert to fraction form
    206,796.35/310,460.16 = 159,441.53/x
  3. Step 3: Cross multiply
    206,796.35x = 310,460.16 × 159,441.53
  4. Step 4: Simplify right side
    206,796.35x = 49,500,241,362.14
  5. Step 5: Solve for x
    x = 49,500,241,362.14/206,796.35
  6. Step 6: Final answer
    x = 239,367.10

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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.