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Finding the Fourth Proportional to 109,838.35, 164,812.20 and 62,489.80

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Solution

The fourth proportional to 109,838.35, 164,812.20 and 62,489.80 is: 93,765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,838.35 : 164,812.20 = 62,489.80 : x
  2. Step 2: Convert to fraction form
    109,838.35/164,812.20 = 62,489.80/x
  3. Step 3: Cross multiply
    109,838.35x = 164,812.20 × 62,489.80
  4. Step 4: Simplify right side
    109,838.35x = 10,299,081,415.56
  5. Step 5: Solve for x
    x = 10,299,081,415.56/109,838.35
  6. Step 6: Final answer
    x = 93,765.81

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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.