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Finding the Fourth Proportional to 264,267.80, 396,462.24 and 114,533.24

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Solution

The fourth proportional to 264,267.80, 396,462.24 and 114,533.24 is: 171,826.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,267.80 : 396,462.24 = 114,533.24 : x
  2. Step 2: Convert to fraction form
    264,267.80/396,462.24 = 114,533.24/x
  3. Step 3: Cross multiply
    264,267.80x = 396,462.24 × 114,533.24
  4. Step 4: Simplify right side
    264,267.80x = 45,408,104,884.86
  5. Step 5: Solve for x
    x = 45,408,104,884.86/264,267.80
  6. Step 6: Final answer
    x = 171,826.10

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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.