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Finding the Fourth Proportional to 264,978.12, 397,080.72 and 122,866.92

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Solution

The fourth proportional to 264,978.12, 397,080.72 and 122,866.92 is: 184,121.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,978.12 : 397,080.72 = 122,866.92 : x
  2. Step 2: Convert to fraction form
    264,978.12/397,080.72 = 122,866.92/x
  3. Step 3: Cross multiply
    264,978.12x = 397,080.72 × 122,866.92
  4. Step 4: Simplify right side
    264,978.12x = 48,788,085,057.78
  5. Step 5: Solve for x
    x = 48,788,085,057.78/264,978.12
  6. Step 6: Final answer
    x = 184,121.18

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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.