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Finding the Fourth Proportional to 227,056.50, 313,347.78 and 126,454.50

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Solution

The fourth proportional to 227,056.50, 313,347.78 and 126,454.50 is: 174,512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,056.50 : 313,347.78 = 126,454.50 : x
  2. Step 2: Convert to fraction form
    227,056.50/313,347.78 = 126,454.50/x
  3. Step 3: Cross multiply
    227,056.50x = 313,347.78 × 126,454.50
  4. Step 4: Simplify right side
    227,056.50x = 39,624,236,846.01
  5. Step 5: Solve for x
    x = 39,624,236,846.01/227,056.50
  6. Step 6: Final answer
    x = 174,512.67

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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.