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Finding the Fourth Proportional to 197,220.16, 295,876.80 and 64,100.80

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Solution

The fourth proportional to 197,220.16, 295,876.80 and 64,100.80 is: 96,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,220.16 : 295,876.80 = 64,100.80 : x
  2. Step 2: Convert to fraction form
    197,220.16/295,876.80 = 64,100.80/x
  3. Step 3: Cross multiply
    197,220.16x = 295,876.80 × 64,100.80
  4. Step 4: Simplify right side
    197,220.16x = 18,965,939,581.44
  5. Step 5: Solve for x
    x = 18,965,939,581.44/197,220.16
  6. Step 6: Final answer
    x = 96,166.33

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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.