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Finding the Fourth Proportional to 150,314.33, 224,145.02 and 148,964.54

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Solution

The fourth proportional to 150,314.33, 224,145.02 and 148,964.54 is: 222,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,314.33 : 224,145.02 = 148,964.54 : x
  2. Step 2: Convert to fraction form
    150,314.33/224,145.02 = 148,964.54/x
  3. Step 3: Cross multiply
    150,314.33x = 224,145.02 × 148,964.54
  4. Step 4: Simplify right side
    150,314.33x = 33,389,659,049.28
  5. Step 5: Solve for x
    x = 33,389,659,049.28/150,314.33
  6. Step 6: Final answer
    x = 222,132.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.