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Finding the Fourth Proportional to 200,745.92, 301,023.50 and 116,531.91

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Solution

The fourth proportional to 200,745.92, 301,023.50 and 116,531.91 is: 174,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,745.92 : 301,023.50 = 116,531.91 : x
  2. Step 2: Convert to fraction form
    200,745.92/301,023.50 = 116,531.91/x
  3. Step 3: Cross multiply
    200,745.92x = 301,023.50 × 116,531.91
  4. Step 4: Simplify right side
    200,745.92x = 35,078,842,827.23
  5. Step 5: Solve for x
    x = 35,078,842,827.23/200,745.92
  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.