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Finding the Fourth Proportional to 102,109.66, 140,906.97 and 56,166.38

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Solution

The fourth proportional to 102,109.66, 140,906.97 and 56,166.38 is: 77,507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,109.66 : 140,906.97 = 56,166.38 : x
  2. Step 2: Convert to fraction form
    102,109.66/140,906.97 = 56,166.38/x
  3. Step 3: Cross multiply
    102,109.66x = 140,906.97 × 56,166.38
  4. Step 4: Simplify right side
    102,109.66x = 7,914,234,984.56
  5. Step 5: Solve for x
    x = 7,914,234,984.56/102,109.66
  6. Step 6: Final answer
    x = 77,507.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.