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Finding the Fourth Proportional to 100,196.89, 138,365.37 and 64,448.96

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Solution

The fourth proportional to 100,196.89, 138,365.37 and 64,448.96 is: 88,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,196.89 : 138,365.37 = 64,448.96 : x
  2. Step 2: Convert to fraction form
    100,196.89/138,365.37 = 64,448.96/x
  3. Step 3: Cross multiply
    100,196.89x = 138,365.37 × 64,448.96
  4. Step 4: Simplify right side
    100,196.89x = 8,917,504,196.52
  5. Step 5: Solve for x
    x = 8,917,504,196.52/100,196.89
  6. Step 6: Final answer
    x = 88,999.81

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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.