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Finding the Fourth Proportional to 199,647.60, 275,537.24 and 114,768.24

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Solution

The fourth proportional to 199,647.60, 275,537.24 and 114,768.24 is: 158,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,647.60 : 275,537.24 = 114,768.24 : x
  2. Step 2: Convert to fraction form
    199,647.60/275,537.24 = 114,768.24/x
  3. Step 3: Cross multiply
    199,647.60x = 275,537.24 × 114,768.24
  4. Step 4: Simplify right side
    199,647.60x = 31,622,924,089.26
  5. Step 5: Solve for x
    x = 31,622,924,089.26/199,647.60
  6. Step 6: Final answer
    x = 158,393.71

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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.