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Finding the Fourth Proportional to 100,409.37, 138,564.36 and 55,086.23

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Solution

The fourth proportional to 100,409.37, 138,564.36 and 55,086.23 is: 76,018.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,409.37 : 138,564.36 = 55,086.23 : x
  2. Step 2: Convert to fraction form
    100,409.37/138,564.36 = 55,086.23/x
  3. Step 3: Cross multiply
    100,409.37x = 138,564.36 × 55,086.23
  4. Step 4: Simplify right side
    100,409.37x = 7,632,987,511.94
  5. Step 5: Solve for x
    x = 7,632,987,511.94/100,409.37
  6. Step 6: Final answer
    x = 76,018.68

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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.