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Finding the Fourth Proportional to 107,640.20, 161,460.30 and 65,649.80

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Solution

The fourth proportional to 107,640.20, 161,460.30 and 65,649.80 is: 98,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,640.20 : 161,460.30 = 65,649.80 : x
  2. Step 2: Convert to fraction form
    107,640.20/161,460.30 = 65,649.80/x
  3. Step 3: Cross multiply
    107,640.20x = 161,460.30 × 65,649.80
  4. Step 4: Simplify right side
    107,640.20x = 10,599,836,402.94
  5. Step 5: Solve for x
    x = 10,599,836,402.94/107,640.20
  6. Step 6: Final answer
    x = 98,474.70

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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.