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Finding the Fourth Proportional to 264,257.77, 396,447.23 and 114,523.20

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Solution

The fourth proportional to 264,257.77, 396,447.23 and 114,523.20 is: 171,811.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,257.77 : 396,447.23 = 114,523.20 : x
  2. Step 2: Convert to fraction form
    264,257.77/396,447.23 = 114,523.20/x
  3. Step 3: Cross multiply
    264,257.77x = 396,447.23 × 114,523.20
  4. Step 4: Simplify right side
    264,257.77x = 45,402,405,410.74
  5. Step 5: Solve for x
    x = 45,402,405,410.74/264,257.77
  6. Step 6: Final answer
    x = 171,811.05

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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.