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Finding the Fourth Proportional to 176,059.20, 263,797.20 and 149,815.20

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Solution

The fourth proportional to 176,059.20, 263,797.20 and 149,815.20 is: 224,474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,059.20 : 263,797.20 = 149,815.20 : x
  2. Step 2: Convert to fraction form
    176,059.20/263,797.20 = 149,815.20/x
  3. Step 3: Cross multiply
    176,059.20x = 263,797.20 × 149,815.20
  4. Step 4: Simplify right side
    176,059.20x = 39,520,830,277.44
  5. Step 5: Solve for x
    x = 39,520,830,277.44/176,059.20
  6. Step 6: Final answer
    x = 224,474.67

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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.