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Finding the Fourth Proportional to 264,693.33, 397,039.05 and 114,914.07

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Solution

The fourth proportional to 264,693.33, 397,039.05 and 114,914.07 is: 172,370.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,693.33 : 397,039.05 = 114,914.07 : x
  2. Step 2: Convert to fraction form
    264,693.33/397,039.05 = 114,914.07/x
  3. Step 3: Cross multiply
    264,693.33x = 397,039.05 × 114,914.07
  4. Step 4: Simplify right side
    264,693.33x = 45,625,373,184.43
  5. Step 5: Solve for x
    x = 45,625,373,184.43/264,693.33
  6. Step 6: Final answer
    x = 172,370.69

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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.