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Finding the Fourth Proportional to 197,204.80, 295,807.20 and 185,540.80

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Solution

The fourth proportional to 197,204.80, 295,807.20 and 185,540.80 is: 278,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,204.80 : 295,807.20 = 185,540.80 : x
  2. Step 2: Convert to fraction form
    197,204.80/295,807.20 = 185,540.80/x
  3. Step 3: Cross multiply
    197,204.80x = 295,807.20 × 185,540.80
  4. Step 4: Simplify right side
    197,204.80x = 54,884,304,533.76
  5. Step 5: Solve for x
    x = 54,884,304,533.76/197,204.80
  6. Step 6: Final answer
    x = 278,311.20

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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.