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Finding the Fourth Proportional to 109,846.92, 164,857.92 and 43,303.80

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Solution

The fourth proportional to 109,846.92, 164,857.92 and 43,303.80 is: 64,990.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,846.92 : 164,857.92 = 43,303.80 : x
  2. Step 2: Convert to fraction form
    109,846.92/164,857.92 = 43,303.80/x
  3. Step 3: Cross multiply
    109,846.92x = 164,857.92 × 43,303.80
  4. Step 4: Simplify right side
    109,846.92x = 7,138,974,396.10
  5. Step 5: Solve for x
    x = 7,138,974,396.10/109,846.92
  6. Step 6: Final answer
    x = 64,990.21

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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.