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Finding the Fourth Proportional to 200,822.52, 301,023.60 and 67,656.77

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Solution

The fourth proportional to 200,822.52, 301,023.60 and 67,656.77 is: 101,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,822.52 : 301,023.60 = 67,656.77 : x
  2. Step 2: Convert to fraction form
    200,822.52/301,023.60 = 67,656.77/x
  3. Step 3: Cross multiply
    200,822.52x = 301,023.60 × 67,656.77
  4. Step 4: Simplify right side
    200,822.52x = 20,366,284,469.77
  5. Step 5: Solve for x
    x = 20,366,284,469.77/200,822.52
  6. Step 6: Final answer
    x = 101,414.35

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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.