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Finding the Fourth Proportional to 227,050, 313,338.72 and 126,448

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Solution

The fourth proportional to 227,050, 313,338.72 and 126,448 is: 174,503.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,050 : 313,338.72 = 126,448 : x
  2. Step 2: Convert to fraction form
    227,050/313,338.72 = 126,448/x
  3. Step 3: Cross multiply
    227,050x = 313,338.72 × 126,448
  4. Step 4: Simplify right side
    227,050x = 39,621,054,466.56
  5. Step 5: Solve for x
    x = 39,621,054,466.56/227,050
  6. Step 6: Final answer
    x = 174,503.65

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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.