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Finding the Fourth Proportional to 145,912.49, 201,362.31 and 82,250.27

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Solution

The fourth proportional to 145,912.49, 201,362.31 and 82,250.27 is: 113,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,912.49 : 201,362.31 = 82,250.27 : x
  2. Step 2: Convert to fraction form
    145,912.49/201,362.31 = 82,250.27/x
  3. Step 3: Cross multiply
    145,912.49x = 201,362.31 × 82,250.27
  4. Step 4: Simplify right side
    145,912.49x = 16,562,104,365.32
  5. Step 5: Solve for x
    x = 16,562,104,365.32/145,912.49
  6. Step 6: Final answer
    x = 113,507.11

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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.