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Finding the Fourth Proportional to 118,091.44, 177,161.46 and 65,390.20

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Solution

The fourth proportional to 118,091.44, 177,161.46 and 65,390.20 is: 98,098.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,091.44 : 177,161.46 = 65,390.20 : x
  2. Step 2: Convert to fraction form
    118,091.44/177,161.46 = 65,390.20/x
  3. Step 3: Cross multiply
    118,091.44x = 177,161.46 × 65,390.20
  4. Step 4: Simplify right side
    118,091.44x = 11,584,623,301.69
  5. Step 5: Solve for x
    x = 11,584,623,301.69/118,091.44
  6. Step 6: Final answer
    x = 98,098.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.