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Finding the Fourth Proportional to 199,466.34, 275,236.26 and 114,583.38

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Solution

The fourth proportional to 199,466.34, 275,236.26 and 114,583.38 is: 158,109.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,466.34 : 275,236.26 = 114,583.38 : x
  2. Step 2: Convert to fraction form
    199,466.34/275,236.26 = 114,583.38/x
  3. Step 3: Cross multiply
    199,466.34x = 275,236.26 × 114,583.38
  4. Step 4: Simplify right side
    199,466.34x = 31,537,500,969.36
  5. Step 5: Solve for x
    x = 31,537,500,969.36/199,466.34
  6. Step 6: Final answer
    x = 158,109.39

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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.