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Finding the Fourth Proportional to 161,740.96, 223,222.26 and 98,078.56

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Solution

The fourth proportional to 161,740.96, 223,222.26 and 98,078.56 is: 135,360.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,740.96 : 223,222.26 = 98,078.56 : x
  2. Step 2: Convert to fraction form
    161,740.96/223,222.26 = 98,078.56/x
  3. Step 3: Cross multiply
    161,740.96x = 223,222.26 × 98,078.56
  4. Step 4: Simplify right side
    161,740.96x = 21,893,317,820.75
  5. Step 5: Solve for x
    x = 21,893,317,820.75/161,740.96
  6. Step 6: Final answer
    x = 135,360.38

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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.