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Finding the Fourth Proportional to 307,757.50, 461,696.10 and 118,204

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Solution

The fourth proportional to 307,757.50, 461,696.10 and 118,204 is: 177,328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,757.50 : 461,696.10 = 118,204 : x
  2. Step 2: Convert to fraction form
    307,757.50/461,696.10 = 118,204/x
  3. Step 3: Cross multiply
    307,757.50x = 461,696.10 × 118,204
  4. Step 4: Simplify right side
    307,757.50x = 54,574,325,804.40
  5. Step 5: Solve for x
    x = 54,574,325,804.40/307,757.50
  6. Step 6: Final answer
    x = 177,328.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.