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Finding the Fourth Proportional to 130,164.80, 194,815.20 and 94,524.80

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Solution

The fourth proportional to 130,164.80, 194,815.20 and 94,524.80 is: 141,473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,164.80 : 194,815.20 = 94,524.80 : x
  2. Step 2: Convert to fraction form
    130,164.80/194,815.20 = 94,524.80/x
  3. Step 3: Cross multiply
    130,164.80x = 194,815.20 × 94,524.80
  4. Step 4: Simplify right side
    130,164.80x = 18,414,867,816.96
  5. Step 5: Solve for x
    x = 18,414,867,816.96/130,164.80
  6. Step 6: Final answer
    x = 141,473.48

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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.