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Finding the Fourth Proportional to 193,003.48, 289,406.46 and 80,653.01

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Solution

The fourth proportional to 193,003.48, 289,406.46 and 80,653.01 is: 120,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,003.48 : 289,406.46 = 80,653.01 : x
  2. Step 2: Convert to fraction form
    193,003.48/289,406.46 = 80,653.01/x
  3. Step 3: Cross multiply
    193,003.48x = 289,406.46 × 80,653.01
  4. Step 4: Simplify right side
    193,003.48x = 23,341,502,112.44
  5. Step 5: Solve for x
    x = 23,341,502,112.44/193,003.48
  6. Step 6: Final answer
    x = 120,938.25

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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.