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Finding the Fourth Proportional to 230,527.92, 345,331.80 and 111,839.16

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Solution

The fourth proportional to 230,527.92, 345,331.80 and 111,839.16 is: 167,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,527.92 : 345,331.80 = 111,839.16 : x
  2. Step 2: Convert to fraction form
    230,527.92/345,331.80 = 111,839.16/x
  3. Step 3: Cross multiply
    230,527.92x = 345,331.80 × 111,839.16
  4. Step 4: Simplify right side
    230,527.92x = 38,621,618,433.29
  5. Step 5: Solve for x
    x = 38,621,618,433.29/230,527.92
  6. Step 6: Final answer
    x = 167,535.54

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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.