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Finding the Fourth Proportional to 299,147.22, 448,724.74 and 99,467.60

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Solution

The fourth proportional to 299,147.22, 448,724.74 and 99,467.60 is: 149,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,147.22 : 448,724.74 = 99,467.60 : x
  2. Step 2: Convert to fraction form
    299,147.22/448,724.74 = 99,467.60/x
  3. Step 3: Cross multiply
    299,147.22x = 448,724.74 × 99,467.60
  4. Step 4: Simplify right side
    299,147.22x = 44,633,572,948.42
  5. Step 5: Solve for x
    x = 44,633,572,948.42/299,147.22
  6. Step 6: Final answer
    x = 149,202.70

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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.