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Finding the Fourth Proportional to 200,537.54, 276,741.85 and 119,968.42

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Solution

The fourth proportional to 200,537.54, 276,741.85 and 119,968.42 is: 165,556.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,537.54 : 276,741.85 = 119,968.42 : x
  2. Step 2: Convert to fraction form
    200,537.54/276,741.85 = 119,968.42/x
  3. Step 3: Cross multiply
    200,537.54x = 276,741.85 × 119,968.42
  4. Step 4: Simplify right side
    200,537.54x = 33,200,282,492.38
  5. Step 5: Solve for x
    x = 33,200,282,492.38/200,537.54
  6. Step 6: Final answer
    x = 165,556.45

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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.