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Finding the Fourth Proportional to 200,909, 277,267.38 and 111,485

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Solution

The fourth proportional to 200,909, 277,267.38 and 111,485 is: 153,856.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,909 : 277,267.38 = 111,485 : x
  2. Step 2: Convert to fraction form
    200,909/277,267.38 = 111,485/x
  3. Step 3: Cross multiply
    200,909x = 277,267.38 × 111,485
  4. Step 4: Simplify right side
    200,909x = 30,911,153,859.30
  5. Step 5: Solve for x
    x = 30,911,153,859.30/200,909
  6. Step 6: Final answer
    x = 153,856.49

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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.