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Finding the Fourth Proportional to 299,505.60, 448,675.20 and 166,147.20

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Solution

The fourth proportional to 299,505.60, 448,675.20 and 166,147.20 is: 248,897.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,505.60 : 448,675.20 = 166,147.20 : x
  2. Step 2: Convert to fraction form
    299,505.60/448,675.20 = 166,147.20/x
  3. Step 3: Cross multiply
    299,505.60x = 448,675.20 × 166,147.20
  4. Step 4: Simplify right side
    299,505.60x = 74,546,128,189.44
  5. Step 5: Solve for x
    x = 74,546,128,189.44/299,505.60
  6. Step 6: Final answer
    x = 248,897.28

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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.