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Finding the Fourth Proportional to 109,912.10, 164,922.83 and 43,354.40

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Solution

The fourth proportional to 109,912.10, 164,922.83 and 43,354.40 is: 65,053.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,912.10 : 164,922.83 = 43,354.40 : x
  2. Step 2: Convert to fraction form
    109,912.10/164,922.83 = 43,354.40/x
  3. Step 3: Cross multiply
    109,912.10x = 164,922.83 × 43,354.40
  4. Step 4: Simplify right side
    109,912.10x = 7,150,130,340.95
  5. Step 5: Solve for x
    x = 7,150,130,340.95/109,912.10
  6. Step 6: Final answer
    x = 65,053.17

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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.