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Finding the Fourth Proportional to 200,537.38, 276,741.59 and 111,113.38

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Solution

The fourth proportional to 200,537.38, 276,741.59 and 111,113.38 is: 153,336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,537.38 : 276,741.59 = 111,113.38 : x
  2. Step 2: Convert to fraction form
    200,537.38/276,741.59 = 111,113.38/x
  3. Step 3: Cross multiply
    200,537.38x = 276,741.59 × 111,113.38
  4. Step 4: Simplify right side
    200,537.38x = 30,749,693,451.47
  5. Step 5: Solve for x
    x = 30,749,693,451.47/200,537.38
  6. Step 6: Final answer
    x = 153,336.47

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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.