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Finding the Fourth Proportional to 299,673.16, 449,359.26 and 99,922.84

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Solution

The fourth proportional to 299,673.16, 449,359.26 and 99,922.84 is: 149,834.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,673.16 : 449,359.26 = 99,922.84 : x
  2. Step 2: Convert to fraction form
    299,673.16/449,359.26 = 99,922.84/x
  3. Step 3: Cross multiply
    299,673.16x = 449,359.26 × 99,922.84
  4. Step 4: Simplify right side
    299,673.16x = 44,901,253,439.50
  5. Step 5: Solve for x
    x = 44,901,253,439.50/299,673.16
  6. Step 6: Final answer
    x = 149,834.08

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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.