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Finding the Fourth Proportional to 299,530.32, 449,296.92 and 122,039.12

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Solution

The fourth proportional to 299,530.32, 449,296.92 and 122,039.12 is: 183,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,530.32 : 449,296.92 = 122,039.12 : x
  2. Step 2: Convert to fraction form
    299,530.32/449,296.92 = 122,039.12/x
  3. Step 3: Cross multiply
    299,530.32x = 449,296.92 × 122,039.12
  4. Step 4: Simplify right side
    299,530.32x = 54,831,800,735.51
  5. Step 5: Solve for x
    x = 54,831,800,735.51/299,530.32
  6. Step 6: Final answer
    x = 183,059.27

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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.