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Finding the Fourth Proportional to 279,762.93, 419,768.46 and 146,611.58

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Solution

The fourth proportional to 279,762.93, 419,768.46 and 146,611.58 is: 219,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,762.93 : 419,768.46 = 146,611.58 : x
  2. Step 2: Convert to fraction form
    279,762.93/419,768.46 = 146,611.58/x
  3. Step 3: Cross multiply
    279,762.93x = 419,768.46 × 146,611.58
  4. Step 4: Simplify right side
    279,762.93x = 61,542,915,055.92
  5. Step 5: Solve for x
    x = 61,542,915,055.92/279,762.93
  6. Step 6: Final answer
    x = 219,982.38

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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.