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Finding the Fourth Proportional to 176,069.20, 263,812.20 and 149,825.20

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Solution

The fourth proportional to 176,069.20, 263,812.20 and 149,825.20 is: 224,489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,069.20 : 263,812.20 = 149,825.20 : x
  2. Step 2: Convert to fraction form
    176,069.20/263,812.20 = 149,825.20/x
  3. Step 3: Cross multiply
    176,069.20x = 263,812.20 × 149,825.20
  4. Step 4: Simplify right side
    176,069.20x = 39,525,715,627.44
  5. Step 5: Solve for x
    x = 39,525,715,627.44/176,069.20
  6. Step 6: Final answer
    x = 224,489.66

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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.