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Finding the Fourth Proportional to 206,156.76, 309,230.28 and 65,916.60

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Solution

The fourth proportional to 206,156.76, 309,230.28 and 65,916.60 is: 98,873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,156.76 : 309,230.28 = 65,916.60 : x
  2. Step 2: Convert to fraction form
    206,156.76/309,230.28 = 65,916.60/x
  3. Step 3: Cross multiply
    206,156.76x = 309,230.28 × 65,916.60
  4. Step 4: Simplify right side
    206,156.76x = 20,383,408,674.65
  5. Step 5: Solve for x
    x = 20,383,408,674.65/206,156.76
  6. Step 6: Final answer
    x = 98,873.35

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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.