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Finding the Fourth Proportional to 176,076.70, 263,823.45 and 149,832.70

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Solution

The fourth proportional to 176,076.70, 263,823.45 and 149,832.70 is: 224,500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,076.70 : 263,823.45 = 149,832.70 : x
  2. Step 2: Convert to fraction form
    176,076.70/263,823.45 = 149,832.70/x
  3. Step 3: Cross multiply
    176,076.70x = 263,823.45 × 149,832.70
  4. Step 4: Simplify right side
    176,076.70x = 39,529,379,836.82
  5. Step 5: Solve for x
    x = 39,529,379,836.82/176,076.70
  6. Step 6: Final answer
    x = 224,500.91

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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.