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Finding the Fourth Proportional to 299,817.36, 449,687.04 and 142,146

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Solution

The fourth proportional to 299,817.36, 449,687.04 and 142,146 is: 213,200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,817.36 : 449,687.04 = 142,146 : x
  2. Step 2: Convert to fraction form
    299,817.36/449,687.04 = 142,146/x
  3. Step 3: Cross multiply
    299,817.36x = 449,687.04 × 142,146
  4. Step 4: Simplify right side
    299,817.36x = 63,921,213,987.84
  5. Step 5: Solve for x
    x = 63,921,213,987.84/299,817.36
  6. Step 6: Final answer
    x = 213,200.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.