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Finding the Fourth Proportional to 262,467, 362,204.46 and 143,235

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Solution

The fourth proportional to 262,467, 362,204.46 and 143,235 is: 197,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,467 : 362,204.46 = 143,235 : x
  2. Step 2: Convert to fraction form
    262,467/362,204.46 = 143,235/x
  3. Step 3: Cross multiply
    262,467x = 362,204.46 × 143,235
  4. Step 4: Simplify right side
    262,467x = 51,880,355,828.10
  5. Step 5: Solve for x
    x = 51,880,355,828.10/262,467
  6. Step 6: Final answer
    x = 197,664.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.