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Finding the Fourth Proportional to 225,425, 311,096.22 and 124,823

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Solution

The fourth proportional to 225,425, 311,096.22 and 124,823 is: 172,261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,425 : 311,096.22 = 124,823 : x
  2. Step 2: Convert to fraction form
    225,425/311,096.22 = 124,823/x
  3. Step 3: Cross multiply
    225,425x = 311,096.22 × 124,823
  4. Step 4: Simplify right side
    225,425x = 38,831,963,469.06
  5. Step 5: Solve for x
    x = 38,831,963,469.06/225,425
  6. Step 6: Final answer
    x = 172,261.12

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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.