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Finding the Fourth Proportional to 165,188.43, 227,940.69 and 97,190.46

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Solution

The fourth proportional to 165,188.43, 227,940.69 and 97,190.46 is: 134,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,188.43 : 227,940.69 = 97,190.46 : x
  2. Step 2: Convert to fraction form
    165,188.43/227,940.69 = 97,190.46/x
  3. Step 3: Cross multiply
    165,188.43x = 227,940.69 × 97,190.46
  4. Step 4: Simplify right side
    165,188.43x = 22,153,660,513.82
  5. Step 5: Solve for x
    x = 22,153,660,513.82/165,188.43
  6. Step 6: Final answer
    x = 134,111.45

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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.