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Finding the Fourth Proportional to 100,105.09, 138,145.02 and 54,783.07

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Solution

The fourth proportional to 100,105.09, 138,145.02 and 54,783.07 is: 75,600.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,105.09 : 138,145.02 = 54,783.07 : x
  2. Step 2: Convert to fraction form
    100,105.09/138,145.02 = 54,783.07/x
  3. Step 3: Cross multiply
    100,105.09x = 138,145.02 × 54,783.07
  4. Step 4: Simplify right side
    100,105.09x = 7,568,008,300.81
  5. Step 5: Solve for x
    x = 7,568,008,300.81/100,105.09
  6. Step 6: Final answer
    x = 75,600.63

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