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Finding the Fourth Proportional to 176,052.20, 263,786.70 and 149,808.20

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Solution

The fourth proportional to 176,052.20, 263,786.70 and 149,808.20 is: 224,464.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,052.20 : 263,786.70 = 149,808.20 : x
  2. Step 2: Convert to fraction form
    176,052.20/263,786.70 = 149,808.20/x
  3. Step 3: Cross multiply
    176,052.20x = 263,786.70 × 149,808.20
  4. Step 4: Simplify right side
    176,052.20x = 39,517,410,710.94
  5. Step 5: Solve for x
    x = 39,517,410,710.94/176,052.20
  6. Step 6: Final answer
    x = 224,464.17

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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.