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Finding the Fourth Proportional to 178,057.42, 267,121.77 and 65,738.32

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Solution

The fourth proportional to 178,057.42, 267,121.77 and 65,738.32 is: 98,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,057.42 : 267,121.77 = 65,738.32 : x
  2. Step 2: Convert to fraction form
    178,057.42/267,121.77 = 65,738.32/x
  3. Step 3: Cross multiply
    178,057.42x = 267,121.77 × 65,738.32
  4. Step 4: Simplify right side
    178,057.42x = 17,560,136,395.23
  5. Step 5: Solve for x
    x = 17,560,136,395.23/178,057.42
  6. Step 6: Final answer
    x = 98,620.64

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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.