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Finding the Fourth Proportional to 181,284.50, 270,741.21 and 154,343.27

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Solution

The fourth proportional to 181,284.50, 270,741.21 and 154,343.27 is: 230,505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,284.50 : 270,741.21 = 154,343.27 : x
  2. Step 2: Convert to fraction form
    181,284.50/270,741.21 = 154,343.27/x
  3. Step 3: Cross multiply
    181,284.50x = 270,741.21 × 154,343.27
  4. Step 4: Simplify right side
    181,284.50x = 41,787,082,900.24
  5. Step 5: Solve for x
    x = 41,787,082,900.24/181,284.50
  6. Step 6: Final answer
    x = 230,505.55

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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.