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Finding the Fourth Proportional to 200,745.93, 301,023.51 and 116,531.91

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Solution

The fourth proportional to 200,745.93, 301,023.51 and 116,531.91 is: 174,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,745.93 : 301,023.51 = 116,531.91 : x
  2. Step 2: Convert to fraction form
    200,745.93/301,023.51 = 116,531.91/x
  3. Step 3: Cross multiply
    200,745.93x = 301,023.51 × 116,531.91
  4. Step 4: Simplify right side
    200,745.93x = 35,078,844,575.20
  5. Step 5: Solve for x
    x = 35,078,844,575.20/200,745.93
  6. Step 6: Final answer
    x = 174,742.49

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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.