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Finding the Fourth Proportional to 299,021.24, 412,652.50 and 163,054.04

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Solution

The fourth proportional to 299,021.24, 412,652.50 and 163,054.04 is: 225,016.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,021.24 : 412,652.50 = 163,054.04 : x
  2. Step 2: Convert to fraction form
    299,021.24/412,652.50 = 163,054.04/x
  3. Step 3: Cross multiply
    299,021.24x = 412,652.50 × 163,054.04
  4. Step 4: Simplify right side
    299,021.24x = 67,284,657,241.10
  5. Step 5: Solve for x
    x = 67,284,657,241.10/299,021.24
  6. Step 6: Final answer
    x = 225,016.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.