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Finding the Fourth Proportional to 227,332.44, 313,701.66 and 126,711

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Solution

The fourth proportional to 227,332.44, 313,701.66 and 126,711 is: 174,851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,332.44 : 313,701.66 = 126,711 : x
  2. Step 2: Convert to fraction form
    227,332.44/313,701.66 = 126,711/x
  3. Step 3: Cross multiply
    227,332.44x = 313,701.66 × 126,711
  4. Step 4: Simplify right side
    227,332.44x = 39,749,451,040.26
  5. Step 5: Solve for x
    x = 39,749,451,040.26/227,332.44
  6. Step 6: Final answer
    x = 174,851.64

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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.