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Finding the Fourth Proportional to 299,146.64, 448,723.87 and 99,467.03

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Solution

The fourth proportional to 299,146.64, 448,723.87 and 99,467.03 is: 149,201.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,146.64 : 448,723.87 = 99,467.03 : x
  2. Step 2: Convert to fraction form
    299,146.64/448,723.87 = 99,467.03/x
  3. Step 3: Cross multiply
    299,146.64x = 448,723.87 × 99,467.03
  4. Step 4: Simplify right side
    299,146.64x = 44,633,228,988.08
  5. Step 5: Solve for x
    x = 44,633,228,988.08/299,146.64
  6. Step 6: Final answer
    x = 149,201.84

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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.