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Finding the Fourth Proportional to 193,340.40, 290,010.60 and 165,346.80

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Solution

The fourth proportional to 193,340.40, 290,010.60 and 165,346.80 is: 248,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,340.40 : 290,010.60 = 165,346.80 : x
  2. Step 2: Convert to fraction form
    193,340.40/290,010.60 = 165,346.80/x
  3. Step 3: Cross multiply
    193,340.40x = 290,010.60 × 165,346.80
  4. Step 4: Simplify right side
    193,340.40x = 47,952,324,676.08
  5. Step 5: Solve for x
    x = 47,952,324,676.08/193,340.40
  6. Step 6: Final answer
    x = 248,020.20

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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.