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Finding the Fourth Proportional to 200,535.38, 276,738.83 and 111,111.38

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Solution

The fourth proportional to 200,535.38, 276,738.83 and 111,111.38 is: 153,333.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,535.38 : 276,738.83 = 111,111.38 : x
  2. Step 2: Convert to fraction form
    200,535.38/276,738.83 = 111,111.38/x
  3. Step 3: Cross multiply
    200,535.38x = 276,738.83 × 111,111.38
  4. Step 4: Simplify right side
    200,535.38x = 30,748,833,300.89
  5. Step 5: Solve for x
    x = 30,748,833,300.89/200,535.38
  6. Step 6: Final answer
    x = 153,333.71

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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.