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Finding the Fourth Proportional to 200,954, 277,329.48 and 111,530

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Solution

The fourth proportional to 200,954, 277,329.48 and 111,530 is: 153,918.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,954 : 277,329.48 = 111,530 : x
  2. Step 2: Convert to fraction form
    200,954/277,329.48 = 111,530/x
  3. Step 3: Cross multiply
    200,954x = 277,329.48 × 111,530
  4. Step 4: Simplify right side
    200,954x = 30,930,556,904.40
  5. Step 5: Solve for x
    x = 30,930,556,904.40/200,954
  6. Step 6: Final answer
    x = 153,918.59

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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.