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Finding the Fourth Proportional to 264,165.87, 364,548.89 and 150,991.05

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Solution

The fourth proportional to 264,165.87, 364,548.89 and 150,991.05 is: 208,367.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,165.87 : 364,548.89 = 150,991.05 : x
  2. Step 2: Convert to fraction form
    264,165.87/364,548.89 = 150,991.05/x
  3. Step 3: Cross multiply
    264,165.87x = 364,548.89 × 150,991.05
  4. Step 4: Simplify right side
    264,165.87x = 55,043,619,677.43
  5. Step 5: Solve for x
    x = 55,043,619,677.43/264,165.87
  6. Step 6: Final answer
    x = 208,367.64

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Why These Related Problems?

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