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Finding the Fourth Proportional to 350,458.44, 525,731.39 and 137,198.81

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Solution

The fourth proportional to 350,458.44, 525,731.39 and 137,198.81 is: 205,815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,458.44 : 525,731.39 = 137,198.81 : x
  2. Step 2: Convert to fraction form
    350,458.44/525,731.39 = 137,198.81/x
  3. Step 3: Cross multiply
    350,458.44x = 525,731.39 × 137,198.81
  4. Step 4: Simplify right side
    350,458.44x = 72,129,717,772.99
  5. Step 5: Solve for x
    x = 72,129,717,772.99/350,458.44
  6. Step 6: Final answer
    x = 205,815.33

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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.