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Finding the Fourth Proportional to 261,165.29, 391,797.11 and 186,099.22

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Solution

The fourth proportional to 261,165.29, 391,797.11 and 186,099.22 is: 279,183.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,165.29 : 391,797.11 = 186,099.22 : x
  2. Step 2: Convert to fraction form
    261,165.29/391,797.11 = 186,099.22/x
  3. Step 3: Cross multiply
    261,165.29x = 391,797.11 × 186,099.22
  4. Step 4: Simplify right side
    261,165.29x = 72,913,136,569.25
  5. Step 5: Solve for x
    x = 72,913,136,569.25/261,165.29
  6. Step 6: Final answer
    x = 279,183.87

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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.