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Finding the Fourth Proportional to 221,893.20, 306,137.76 and 126,332.24

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Solution

The fourth proportional to 221,893.20, 306,137.76 and 126,332.24 is: 174,295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,893.20 : 306,137.76 = 126,332.24 : x
  2. Step 2: Convert to fraction form
    221,893.20/306,137.76 = 126,332.24/x
  3. Step 3: Cross multiply
    221,893.20x = 306,137.76 × 126,332.24
  4. Step 4: Simplify right side
    221,893.20x = 38,675,068,969.38
  5. Step 5: Solve for x
    x = 38,675,068,969.38/221,893.20
  6. Step 6: Final answer
    x = 174,295.87

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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.