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Finding the Fourth Proportional to 167,215, 230,756.70 and 91,763.50

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Solution

The fourth proportional to 167,215, 230,756.70 and 91,763.50 is: 126,633.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,215 : 230,756.70 = 91,763.50 : x
  2. Step 2: Convert to fraction form
    167,215/230,756.70 = 91,763.50/x
  3. Step 3: Cross multiply
    167,215x = 230,756.70 × 91,763.50
  4. Step 4: Simplify right side
    167,215x = 21,175,042,440.45
  5. Step 5: Solve for x
    x = 21,175,042,440.45/167,215
  6. Step 6: Final answer
    x = 126,633.63

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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.