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Finding the Fourth Proportional to 207,704.56, 311,334.36 and 148,360.24

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Solution

The fourth proportional to 207,704.56, 311,334.36 and 148,360.24 is: 222,381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,704.56 : 311,334.36 = 148,360.24 : x
  2. Step 2: Convert to fraction form
    207,704.56/311,334.36 = 148,360.24/x
  3. Step 3: Cross multiply
    207,704.56x = 311,334.36 × 148,360.24
  4. Step 4: Simplify right side
    207,704.56x = 46,189,640,369.85
  5. Step 5: Solve for x
    x = 46,189,640,369.85/207,704.56
  6. Step 6: Final answer
    x = 222,381.45

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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.