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Finding the Fourth Proportional to 197,171.20, 295,756.80 and 97,346.80

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Solution

The fourth proportional to 197,171.20, 295,756.80 and 97,346.80 is: 146,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,171.20 : 295,756.80 = 97,346.80 : x
  2. Step 2: Convert to fraction form
    197,171.20/295,756.80 = 97,346.80/x
  3. Step 3: Cross multiply
    197,171.20x = 295,756.80 × 97,346.80
  4. Step 4: Simplify right side
    197,171.20x = 28,790,978,058.24
  5. Step 5: Solve for x
    x = 28,790,978,058.24/197,171.20
  6. Step 6: Final answer
    x = 146,020.20

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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.