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Finding the Fourth Proportional to 96,661.60, 144,819.60 and 82,837.60

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Solution

The fourth proportional to 96,661.60, 144,819.60 and 82,837.60 is: 124,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,661.60 : 144,819.60 = 82,837.60 : x
  2. Step 2: Convert to fraction form
    96,661.60/144,819.60 = 82,837.60/x
  3. Step 3: Cross multiply
    96,661.60x = 144,819.60 × 82,837.60
  4. Step 4: Simplify right side
    96,661.60x = 11,996,508,096.96
  5. Step 5: Solve for x
    x = 11,996,508,096.96/96,661.60
  6. Step 6: Final answer
    x = 124,108.31

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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.