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Finding the Fourth Proportional to 302,112, 416,914.56 and 167,976

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Solution

The fourth proportional to 302,112, 416,914.56 and 167,976 is: 231,806.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,112 : 416,914.56 = 167,976 : x
  2. Step 2: Convert to fraction form
    302,112/416,914.56 = 167,976/x
  3. Step 3: Cross multiply
    302,112x = 416,914.56 × 167,976
  4. Step 4: Simplify right side
    302,112x = 70,031,640,130.56
  5. Step 5: Solve for x
    x = 70,031,640,130.56/302,112
  6. Step 6: Final answer
    x = 231,806.88

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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.