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Finding the Fourth Proportional to 100,105.68, 138,141.69 and 54,782.52

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Solution

The fourth proportional to 100,105.68, 138,141.69 and 54,782.52 is: 75,597.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,105.68 : 138,141.69 = 54,782.52 : x
  2. Step 2: Convert to fraction form
    100,105.68/138,141.69 = 54,782.52/x
  3. Step 3: Cross multiply
    100,105.68x = 138,141.69 × 54,782.52
  4. Step 4: Simplify right side
    100,105.68x = 7,567,749,895.26
  5. Step 5: Solve for x
    x = 7,567,749,895.26/100,105.68
  6. Step 6: Final answer
    x = 75,597.61

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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.