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Finding the Fourth Proportional to 165,128.48, 227,896.76 and 98,060.48

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Solution

The fourth proportional to 165,128.48, 227,896.76 and 98,060.48 is: 135,335.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,128.48 : 227,896.76 = 98,060.48 : x
  2. Step 2: Convert to fraction form
    165,128.48/227,896.76 = 98,060.48/x
  3. Step 3: Cross multiply
    165,128.48x = 227,896.76 × 98,060.48
  4. Step 4: Simplify right side
    165,128.48x = 22,347,665,676.04
  5. Step 5: Solve for x
    x = 22,347,665,676.04/165,128.48
  6. Step 6: Final answer
    x = 135,335.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.