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Finding the Fourth Proportional to 227,978.75, 314,626.96 and 126,002.02

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Solution

The fourth proportional to 227,978.75, 314,626.96 and 126,002.02 is: 173,891.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,978.75 : 314,626.96 = 126,002.02 : x
  2. Step 2: Convert to fraction form
    227,978.75/314,626.96 = 126,002.02/x
  3. Step 3: Cross multiply
    227,978.75x = 314,626.96 × 126,002.02
  4. Step 4: Simplify right side
    227,978.75x = 39,643,632,506.46
  5. Step 5: Solve for x
    x = 39,643,632,506.46/227,978.75
  6. Step 6: Final answer
    x = 173,891.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.