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Finding the Fourth Proportional to 299,122.70, 448,946.49 and 166,153.10

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Solution

The fourth proportional to 299,122.70, 448,946.49 and 166,153.10 is: 249,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,122.70 : 448,946.49 = 166,153.10 : x
  2. Step 2: Convert to fraction form
    299,122.70/448,946.49 = 166,153.10/x
  3. Step 3: Cross multiply
    299,122.70x = 448,946.49 × 166,153.10
  4. Step 4: Simplify right side
    299,122.70x = 74,593,851,047.62
  5. Step 5: Solve for x
    x = 74,593,851,047.62/299,122.70
  6. Step 6: Final answer
    x = 249,375.43

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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.