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Finding the Fourth Proportional to 200,817.87, 277,128.80 and 111,393.87

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Solution

The fourth proportional to 200,817.87, 277,128.80 and 111,393.87 is: 153,723.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,817.87 : 277,128.80 = 111,393.87 : x
  2. Step 2: Convert to fraction form
    200,817.87/277,128.80 = 111,393.87/x
  3. Step 3: Cross multiply
    200,817.87x = 277,128.80 × 111,393.87
  4. Step 4: Simplify right side
    200,817.87x = 30,870,448,963.49
  5. Step 5: Solve for x
    x = 30,870,448,963.49/200,817.87
  6. Step 6: Final answer
    x = 153,723.62

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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.