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Finding the Fourth Proportional to 206,812.26, 310,219.72 and 113,266.98

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Solution

The fourth proportional to 206,812.26, 310,219.72 and 113,266.98 is: 169,901.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,812.26 : 310,219.72 = 113,266.98 : x
  2. Step 2: Convert to fraction form
    206,812.26/310,219.72 = 113,266.98/x
  3. Step 3: Cross multiply
    206,812.26x = 310,219.72 × 113,266.98
  4. Step 4: Simplify right side
    206,812.26x = 35,137,650,820.85
  5. Step 5: Solve for x
    x = 35,137,650,820.85/206,812.26
  6. Step 6: Final answer
    x = 169,901.20

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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.