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Finding the Fourth Proportional to 299,145.56, 448,912.74 and 159,002.60

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Solution

The fourth proportional to 299,145.56, 448,912.74 and 159,002.60 is: 238,607.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,145.56 : 448,912.74 = 159,002.60 : x
  2. Step 2: Convert to fraction form
    299,145.56/448,912.74 = 159,002.60/x
  3. Step 3: Cross multiply
    299,145.56x = 448,912.74 × 159,002.60
  4. Step 4: Simplify right side
    299,145.56x = 71,378,292,833.12
  5. Step 5: Solve for x
    x = 71,378,292,833.12/299,145.56
  6. Step 6: Final answer
    x = 238,607.23

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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.