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Finding the Fourth Proportional to 193,879.80, 290,666.10 and 106,327.80

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Solution

The fourth proportional to 193,879.80, 290,666.10 and 106,327.80 is: 159,407.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,879.80 : 290,666.10 = 106,327.80 : x
  2. Step 2: Convert to fraction form
    193,879.80/290,666.10 = 106,327.80/x
  3. Step 3: Cross multiply
    193,879.80x = 290,666.10 × 106,327.80
  4. Step 4: Simplify right side
    193,879.80x = 30,905,886,947.58
  5. Step 5: Solve for x
    x = 30,905,886,947.58/193,879.80
  6. Step 6: Final answer
    x = 159,407.46

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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.