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Finding the Fourth Proportional to 299,094.56, 448,722.48 and 99,447.20

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Solution

The fourth proportional to 299,094.56, 448,722.48 and 99,447.20 is: 149,197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,094.56 : 448,722.48 = 99,447.20 : x
  2. Step 2: Convert to fraction form
    299,094.56/448,722.48 = 99,447.20/x
  3. Step 3: Cross multiply
    299,094.56x = 448,722.48 × 99,447.20
  4. Step 4: Simplify right side
    299,094.56x = 44,624,194,213.06
  5. Step 5: Solve for x
    x = 44,624,194,213.06/299,094.56
  6. Step 6: Final answer
    x = 149,197.61

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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.