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Finding the Fourth Proportional to 299,564.48, 449,196.24 and 99,814.88

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Solution

The fourth proportional to 299,564.48, 449,196.24 and 99,814.88 is: 149,672.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,564.48 : 449,196.24 = 99,814.88 : x
  2. Step 2: Convert to fraction form
    299,564.48/449,196.24 = 99,814.88/x
  3. Step 3: Cross multiply
    299,564.48x = 449,196.24 × 99,814.88
  4. Step 4: Simplify right side
    299,564.48x = 44,836,468,792.05
  5. Step 5: Solve for x
    x = 44,836,468,792.05/299,564.48
  6. Step 6: Final answer
    x = 149,672.18

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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.