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Finding the Fourth Proportional to 299,148.97, 448,982.30 and 157,094.20

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Solution

The fourth proportional to 299,148.97, 448,982.30 and 157,094.20 is: 235,777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,148.97 : 448,982.30 = 157,094.20 : x
  2. Step 2: Convert to fraction form
    299,148.97/448,982.30 = 157,094.20/x
  3. Step 3: Cross multiply
    299,148.97x = 448,982.30 × 157,094.20
  4. Step 4: Simplify right side
    299,148.97x = 70,532,515,232.66
  5. Step 5: Solve for x
    x = 70,532,515,232.66/299,148.97
  6. Step 6: Final answer
    x = 235,777.23

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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.