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Finding the Fourth Proportional to 264,093.86, 396,133.83 and 74,567.34

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Solution

The fourth proportional to 264,093.86, 396,133.83 and 74,567.34 is: 111,849.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,093.86 : 396,133.83 = 74,567.34 : x
  2. Step 2: Convert to fraction form
    264,093.86/396,133.83 = 74,567.34/x
  3. Step 3: Cross multiply
    264,093.86x = 396,133.83 × 74,567.34
  4. Step 4: Simplify right side
    264,093.86x = 29,538,645,987.11
  5. Step 5: Solve for x
    x = 29,538,645,987.11/264,093.86
  6. Step 6: Final answer
    x = 111,849.05

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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.