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Finding the Fourth Proportional to 142,546.44, 213,756.48 and 75,974.16

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Solution

The fourth proportional to 142,546.44, 213,756.48 and 75,974.16 is: 113,927.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,546.44 : 213,756.48 = 75,974.16 : x
  2. Step 2: Convert to fraction form
    142,546.44/213,756.48 = 75,974.16/x
  3. Step 3: Cross multiply
    142,546.44x = 213,756.48 × 75,974.16
  4. Step 4: Simplify right side
    142,546.44x = 16,239,969,012.56
  5. Step 5: Solve for x
    x = 16,239,969,012.56/142,546.44
  6. Step 6: Final answer
    x = 113,927.57

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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.