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Finding the Fourth Proportional to 200,745.43, 301,022.76 and 116,531.41

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Solution

The fourth proportional to 200,745.43, 301,022.76 and 116,531.41 is: 174,741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,745.43 : 301,022.76 = 116,531.41 : x
  2. Step 2: Convert to fraction form
    200,745.43/301,022.76 = 116,531.41/x
  3. Step 3: Cross multiply
    200,745.43x = 301,022.76 × 116,531.41
  4. Step 4: Simplify right side
    200,745.43x = 35,078,606,664.89
  5. Step 5: Solve for x
    x = 35,078,606,664.89/200,745.43
  6. Step 6: Final answer
    x = 174,741.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.