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Finding the Fourth Proportional to 186,978.75, 257,899.73 and 126,522.78

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Solution

The fourth proportional to 186,978.75, 257,899.73 and 126,522.78 is: 174,512.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,978.75 : 257,899.73 = 126,522.78 : x
  2. Step 2: Convert to fraction form
    186,978.75/257,899.73 = 126,522.78/x
  3. Step 3: Cross multiply
    186,978.75x = 257,899.73 × 126,522.78
  4. Step 4: Simplify right side
    186,978.75x = 32,630,190,168.24
  5. Step 5: Solve for x
    x = 32,630,190,168.24/186,978.75
  6. Step 6: Final answer
    x = 174,512.83

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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.