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Finding the Fourth Proportional to 299,146.97, 448,724.36 and 99,467.35

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Solution

The fourth proportional to 299,146.97, 448,724.36 and 99,467.35 is: 149,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,146.97 : 448,724.36 = 99,467.35 : x
  2. Step 2: Convert to fraction form
    299,146.97/448,724.36 = 99,467.35/x
  3. Step 3: Cross multiply
    299,146.97x = 448,724.36 × 99,467.35
  4. Step 4: Simplify right side
    299,146.97x = 44,633,422,096.50
  5. Step 5: Solve for x
    x = 44,633,422,096.50/299,146.97
  6. Step 6: Final answer
    x = 149,202.32

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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.