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Finding the Fourth Proportional to 176,647.14, 264,964.62 and 50,288.16

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Solution

The fourth proportional to 176,647.14, 264,964.62 and 50,288.16 is: 75,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,647.14 : 264,964.62 = 50,288.16 : x
  2. Step 2: Convert to fraction form
    176,647.14/264,964.62 = 50,288.16/x
  3. Step 3: Cross multiply
    176,647.14x = 264,964.62 × 50,288.16
  4. Step 4: Simplify right side
    176,647.14x = 13,324,581,880.08
  5. Step 5: Solve for x
    x = 13,324,581,880.08/176,647.14
  6. Step 6: Final answer
    x = 75,430.50

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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.