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Finding the Fourth Proportional to 206,602.14, 310,069.26 and 106,791.57

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Solution

The fourth proportional to 206,602.14, 310,069.26 and 106,791.57 is: 160,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,602.14 : 310,069.26 = 106,791.57 : x
  2. Step 2: Convert to fraction form
    206,602.14/310,069.26 = 106,791.57/x
  3. Step 3: Cross multiply
    206,602.14x = 310,069.26 × 106,791.57
  4. Step 4: Simplify right side
    206,602.14x = 33,112,783,084.14
  5. Step 5: Solve for x
    x = 33,112,783,084.14/206,602.14
  6. Step 6: Final answer
    x = 160,273.19

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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.