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Finding the Fourth Proportional to 149,563.68, 206,394.60 and 82,495.68

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Solution

The fourth proportional to 149,563.68, 206,394.60 and 82,495.68 is: 113,842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,563.68 : 206,394.60 = 82,495.68 : x
  2. Step 2: Convert to fraction form
    149,563.68/206,394.60 = 82,495.68/x
  3. Step 3: Cross multiply
    149,563.68x = 206,394.60 × 82,495.68
  4. Step 4: Simplify right side
    149,563.68x = 17,026,662,875.33
  5. Step 5: Solve for x
    x = 17,026,662,875.33/149,563.68
  6. Step 6: Final answer
    x = 113,842.23

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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.