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Finding the Fourth Proportional to 106,846.82, 160,280.91 and 36,716.90

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Solution

The fourth proportional to 106,846.82, 160,280.91 and 36,716.90 is: 55,079.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,846.82 : 160,280.91 = 36,716.90 : x
  2. Step 2: Convert to fraction form
    106,846.82/160,280.91 = 36,716.90/x
  3. Step 3: Cross multiply
    106,846.82x = 160,280.91 × 36,716.90
  4. Step 4: Simplify right side
    106,846.82x = 5,885,018,144.38
  5. Step 5: Solve for x
    x = 5,885,018,144.38/106,846.82
  6. Step 6: Final answer
    x = 55,079.02

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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.