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Finding the Fourth Proportional to 114,423.84, 171,647.31 and 30,189.84

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Solution

The fourth proportional to 114,423.84, 171,647.31 and 30,189.84 is: 45,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,423.84 : 171,647.31 = 30,189.84 : x
  2. Step 2: Convert to fraction form
    114,423.84/171,647.31 = 30,189.84/x
  3. Step 3: Cross multiply
    114,423.84x = 171,647.31 × 30,189.84
  4. Step 4: Simplify right side
    114,423.84x = 5,182,004,825.33
  5. Step 5: Solve for x
    x = 5,182,004,825.33/114,423.84
  6. Step 6: Final answer
    x = 45,287.81

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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.