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Finding the Fourth Proportional to 109,323.20, 164,023.20 and 39,204.80

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Solution

The fourth proportional to 109,323.20, 164,023.20 and 39,204.80 is: 58,820.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,323.20 : 164,023.20 = 39,204.80 : x
  2. Step 2: Convert to fraction form
    109,323.20/164,023.20 = 39,204.80/x
  3. Step 3: Cross multiply
    109,323.20x = 164,023.20 × 39,204.80
  4. Step 4: Simplify right side
    109,323.20x = 6,430,496,751.36
  5. Step 5: Solve for x
    x = 6,430,496,751.36/109,323.20
  6. Step 6: Final answer
    x = 58,820.97

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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.