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Finding the Fourth Proportional to 176,647.26, 264,964.80 and 50,288.28

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Solution

The fourth proportional to 176,647.26, 264,964.80 and 50,288.28 is: 75,430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,647.26 : 264,964.80 = 50,288.28 : x
  2. Step 2: Convert to fraction form
    176,647.26/264,964.80 = 50,288.28/x
  3. Step 3: Cross multiply
    176,647.26x = 264,964.80 × 50,288.28
  4. Step 4: Simplify right side
    176,647.26x = 13,324,624,052.54
  5. Step 5: Solve for x
    x = 13,324,624,052.54/176,647.26
  6. Step 6: Final answer
    x = 75,430.69

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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.