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Finding the Fourth Proportional to 299,851.47, 449,901.54 and 131,284.80

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Solution

The fourth proportional to 299,851.47, 449,901.54 and 131,284.80 is: 196,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,851.47 : 449,901.54 = 131,284.80 : x
  2. Step 2: Convert to fraction form
    299,851.47/449,901.54 = 131,284.80/x
  3. Step 3: Cross multiply
    299,851.47x = 449,901.54 × 131,284.80
  4. Step 4: Simplify right side
    299,851.47x = 59,065,233,698.59
  5. Step 5: Solve for x
    x = 59,065,233,698.59/299,851.47
  6. Step 6: Final answer
    x = 196,981.64

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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.