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Finding the Fourth Proportional to 230,297.14, 345,024.71 and 166,960.40

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Solution

The fourth proportional to 230,297.14, 345,024.71 and 166,960.40 is: 250,135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,297.14 : 345,024.71 = 166,960.40 : x
  2. Step 2: Convert to fraction form
    230,297.14/345,024.71 = 166,960.40/x
  3. Step 3: Cross multiply
    230,297.14x = 345,024.71 × 166,960.40
  4. Step 4: Simplify right side
    230,297.14x = 57,605,463,591.48
  5. Step 5: Solve for x
    x = 57,605,463,591.48/230,297.14
  6. Step 6: Final answer
    x = 250,135.38

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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.