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Finding the Fourth Proportional to 264,137.94, 396,192.32 and 193,133.34

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Solution

The fourth proportional to 264,137.94, 396,192.32 and 193,133.34 is: 289,689.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,137.94 : 396,192.32 = 193,133.34 : x
  2. Step 2: Convert to fraction form
    264,137.94/396,192.32 = 193,133.34/x
  3. Step 3: Cross multiply
    264,137.94x = 396,192.32 × 193,133.34
  4. Step 4: Simplify right side
    264,137.94x = 76,517,946,043.95
  5. Step 5: Solve for x
    x = 76,517,946,043.95/264,137.94
  6. Step 6: Final answer
    x = 289,689.34

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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.