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Finding the Fourth Proportional to 200,934, 277,288.92 and 111,510

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Solution

The fourth proportional to 200,934, 277,288.92 and 111,510 is: 153,883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,934 : 277,288.92 = 111,510 : x
  2. Step 2: Convert to fraction form
    200,934/277,288.92 = 111,510/x
  3. Step 3: Cross multiply
    200,934x = 277,288.92 × 111,510
  4. Step 4: Simplify right side
    200,934x = 30,920,487,469.20
  5. Step 5: Solve for x
    x = 30,920,487,469.20/200,934
  6. Step 6: Final answer
    x = 153,883.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.