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Finding the Fourth Proportional to 200,936.25, 277,292.03 and 111,512.25

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Solution

The fourth proportional to 200,936.25, 277,292.03 and 111,512.25 is: 153,886.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,936.25 : 277,292.03 = 111,512.25 : x
  2. Step 2: Convert to fraction form
    200,936.25/277,292.03 = 111,512.25/x
  3. Step 3: Cross multiply
    200,936.25x = 277,292.03 × 111,512.25
  4. Step 4: Simplify right side
    200,936.25x = 30,921,457,614.81
  5. Step 5: Solve for x
    x = 30,921,457,614.81/200,936.25
  6. Step 6: Final answer
    x = 153,886.91

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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.