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Finding the Fourth Proportional to 130,021.20, 194,923.80 and 55,198.80

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Solution

The fourth proportional to 130,021.20, 194,923.80 and 55,198.80 is: 82,752.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,021.20 : 194,923.80 = 55,198.80 : x
  2. Step 2: Convert to fraction form
    130,021.20/194,923.80 = 55,198.80/x
  3. Step 3: Cross multiply
    130,021.20x = 194,923.80 × 55,198.80
  4. Step 4: Simplify right side
    130,021.20x = 10,759,559,851.44
  5. Step 5: Solve for x
    x = 10,759,559,851.44/130,021.20
  6. Step 6: Final answer
    x = 82,752.35

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1.5x scale

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.