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Finding the Fourth Proportional to 262,468, 362,205.84 and 143,236

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Solution

The fourth proportional to 262,468, 362,205.84 and 143,236 is: 197,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,468 : 362,205.84 = 143,236 : x
  2. Step 2: Convert to fraction form
    262,468/362,205.84 = 143,236/x
  3. Step 3: Cross multiply
    262,468x = 362,205.84 × 143,236
  4. Step 4: Simplify right side
    262,468x = 51,880,915,698.24
  5. Step 5: Solve for x
    x = 51,880,915,698.24/262,468
  6. Step 6: Final answer
    x = 197,665.68

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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.