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Finding the Fourth Proportional to 193,218.80, 289,828.20 and 130,233.20

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Solution

The fourth proportional to 193,218.80, 289,828.20 and 130,233.20 is: 195,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,218.80 : 289,828.20 = 130,233.20 : x
  2. Step 2: Convert to fraction form
    193,218.80/289,828.20 = 130,233.20/x
  3. Step 3: Cross multiply
    193,218.80x = 289,828.20 × 130,233.20
  4. Step 4: Simplify right side
    193,218.80x = 37,745,253,936.24
  5. Step 5: Solve for x
    x = 37,745,253,936.24/193,218.80
  6. Step 6: Final answer
    x = 195,349.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.