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Finding the Fourth Proportional to 100,071.96, 150,108.09 and 25,192.11

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Solution

The fourth proportional to 100,071.96, 150,108.09 and 25,192.11 is: 37,788.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,071.96 : 150,108.09 = 25,192.11 : x
  2. Step 2: Convert to fraction form
    100,071.96/150,108.09 = 25,192.11/x
  3. Step 3: Cross multiply
    100,071.96x = 150,108.09 × 25,192.11
  4. Step 4: Simplify right side
    100,071.96x = 3,781,539,983.60
  5. Step 5: Solve for x
    x = 3,781,539,983.60/100,071.96
  6. Step 6: Final answer
    x = 37,788.21

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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.