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Finding the Fourth Proportional to 100,213.94, 138,295.29 and 54,892.68

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Solution

The fourth proportional to 100,213.94, 138,295.29 and 54,892.68 is: 75,751.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,213.94 : 138,295.29 = 54,892.68 : x
  2. Step 2: Convert to fraction form
    100,213.94/138,295.29 = 54,892.68/x
  3. Step 3: Cross multiply
    100,213.94x = 138,295.29 × 54,892.68
  4. Step 4: Simplify right side
    100,213.94x = 7,591,399,099.48
  5. Step 5: Solve for x
    x = 7,591,399,099.48/100,213.94
  6. Step 6: Final answer
    x = 75,751.93

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1.5x scale

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.