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Finding the Fourth Proportional to 195,816.30, 293,724.45 and 133,608.30

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Solution

The fourth proportional to 195,816.30, 293,724.45 and 133,608.30 is: 200,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,816.30 : 293,724.45 = 133,608.30 : x
  2. Step 2: Convert to fraction form
    195,816.30/293,724.45 = 133,608.30/x
  3. Step 3: Cross multiply
    195,816.30x = 293,724.45 × 133,608.30
  4. Step 4: Simplify right side
    195,816.30x = 39,244,024,432.94
  5. Step 5: Solve for x
    x = 39,244,024,432.94/195,816.30
  6. Step 6: Final answer
    x = 200,412.45

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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.