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Finding the Fourth Proportional to 150,768, 226,152 and 45,584.64

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Solution

The fourth proportional to 150,768, 226,152 and 45,584.64 is: 68,376.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,768 : 226,152 = 45,584.64 : x
  2. Step 2: Convert to fraction form
    150,768/226,152 = 45,584.64/x
  3. Step 3: Cross multiply
    150,768x = 226,152 × 45,584.64
  4. Step 4: Simplify right side
    150,768x = 10,309,057,505.28
  5. Step 5: Solve for x
    x = 10,309,057,505.28/150,768
  6. Step 6: Final answer
    x = 68,376.96

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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.