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Finding the Fourth Proportional to 193,873.80, 290,657.10 and 106,321.80

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Solution

The fourth proportional to 193,873.80, 290,657.10 and 106,321.80 is: 159,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,873.80 : 290,657.10 = 106,321.80 : x
  2. Step 2: Convert to fraction form
    193,873.80/290,657.10 = 106,321.80/x
  3. Step 3: Cross multiply
    193,873.80x = 290,657.10 × 106,321.80
  4. Step 4: Simplify right side
    193,873.80x = 30,903,186,054.78
  5. Step 5: Solve for x
    x = 30,903,186,054.78/193,873.80
  6. Step 6: Final answer
    x = 159,398.46

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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.