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Finding the Fourth Proportional to 131,201.76, 196,636.44 and 83,798.64

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Solution

The fourth proportional to 131,201.76, 196,636.44 and 83,798.64 is: 125,591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,201.76 : 196,636.44 = 83,798.64 : x
  2. Step 2: Convert to fraction form
    131,201.76/196,636.44 = 83,798.64/x
  3. Step 3: Cross multiply
    131,201.76x = 196,636.44 × 83,798.64
  4. Step 4: Simplify right side
    131,201.76x = 16,477,866,246.44
  5. Step 5: Solve for x
    x = 16,477,866,246.44/131,201.76
  6. Step 6: Final answer
    x = 125,591.81

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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.