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Finding the Fourth Proportional to 200,746, 277,029.48 and 111,322

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Solution

The fourth proportional to 200,746, 277,029.48 and 111,322 is: 153,624.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,746 : 277,029.48 = 111,322 : x
  2. Step 2: Convert to fraction form
    200,746/277,029.48 = 111,322/x
  3. Step 3: Cross multiply
    200,746x = 277,029.48 × 111,322
  4. Step 4: Simplify right side
    200,746x = 30,839,475,772.56
  5. Step 5: Solve for x
    x = 30,839,475,772.56/200,746
  6. Step 6: Final answer
    x = 153,624.36

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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.