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Finding the Fourth Proportional to 109,852.20, 164,745.90 and 43,270.20

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Solution

The fourth proportional to 109,852.20, 164,745.90 and 43,270.20 is: 64,892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,852.20 : 164,745.90 = 43,270.20 : x
  2. Step 2: Convert to fraction form
    109,852.20/164,745.90 = 43,270.20/x
  3. Step 3: Cross multiply
    109,852.20x = 164,745.90 × 43,270.20
  4. Step 4: Simplify right side
    109,852.20x = 7,128,588,042.18
  5. Step 5: Solve for x
    x = 7,128,588,042.18/109,852.20
  6. Step 6: Final answer
    x = 64,892.54

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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.