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Finding the Fourth Proportional to 200,682.70, 276,954.55 and 111,258.70

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Solution

The fourth proportional to 200,682.70, 276,954.55 and 111,258.70 is: 153,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,682.70 : 276,954.55 = 111,258.70 : x
  2. Step 2: Convert to fraction form
    200,682.70/276,954.55 = 111,258.70/x
  3. Step 3: Cross multiply
    200,682.70x = 276,954.55 × 111,258.70
  4. Step 4: Simplify right side
    200,682.70x = 30,813,603,192.09
  5. Step 5: Solve for x
    x = 30,813,603,192.09/200,682.70
  6. Step 6: Final answer
    x = 153,543.89

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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.