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Finding the Fourth Proportional to 274,848.80, 412,273.20 and 134,880.80

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Solution

The fourth proportional to 274,848.80, 412,273.20 and 134,880.80 is: 202,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,848.80 : 412,273.20 = 134,880.80 : x
  2. Step 2: Convert to fraction form
    274,848.80/412,273.20 = 134,880.80/x
  3. Step 3: Cross multiply
    274,848.80x = 412,273.20 × 134,880.80
  4. Step 4: Simplify right side
    274,848.80x = 55,607,739,034.56
  5. Step 5: Solve for x
    x = 55,607,739,034.56/274,848.80
  6. Step 6: Final answer
    x = 202,321.20

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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.