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Finding the Fourth Proportional to 266,164.37, 398,914.31 and 133,082.69

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Solution

The fourth proportional to 266,164.37, 398,914.31 and 133,082.69 is: 199,457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,164.37 : 398,914.31 = 133,082.69 : x
  2. Step 2: Convert to fraction form
    266,164.37/398,914.31 = 133,082.69/x
  3. Step 3: Cross multiply
    266,164.37x = 398,914.31 × 133,082.69
  4. Step 4: Simplify right side
    266,164.37x = 53,088,586,794.31
  5. Step 5: Solve for x
    x = 53,088,586,794.31/266,164.37
  6. Step 6: Final answer
    x = 199,457.91

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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.