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Finding the Fourth Proportional to 206,083.56, 309,146.28 and 71,130.06

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Solution

The fourth proportional to 206,083.56, 309,146.28 and 71,130.06 is: 106,702.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,083.56 : 309,146.28 = 71,130.06 : x
  2. Step 2: Convert to fraction form
    206,083.56/309,146.28 = 71,130.06/x
  3. Step 3: Cross multiply
    206,083.56x = 309,146.28 × 71,130.06
  4. Step 4: Simplify right side
    206,083.56x = 21,989,593,445.18
  5. Step 5: Solve for x
    x = 21,989,593,445.18/206,083.56
  6. Step 6: Final answer
    x = 106,702.32

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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.