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Finding the Fourth Proportional to 165,132.48, 227,940.96 and 98,064

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Solution

The fourth proportional to 165,132.48, 227,940.96 and 98,064 is: 135,362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,132.48 : 227,940.96 = 98,064 : x
  2. Step 2: Convert to fraction form
    165,132.48/227,940.96 = 98,064/x
  3. Step 3: Cross multiply
    165,132.48x = 227,940.96 × 98,064
  4. Step 4: Simplify right side
    165,132.48x = 22,352,802,301.44
  5. Step 5: Solve for x
    x = 22,352,802,301.44/165,132.48
  6. Step 6: Final answer
    x = 135,362.85

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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.