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Finding the Fourth Proportional to 177,242.68, 244,676.46 and 152,947

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Solution

The fourth proportional to 177,242.68, 244,676.46 and 152,947 is: 211,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,242.68 : 244,676.46 = 152,947 : x
  2. Step 2: Convert to fraction form
    177,242.68/244,676.46 = 152,947/x
  3. Step 3: Cross multiply
    177,242.68x = 244,676.46 × 152,947
  4. Step 4: Simplify right side
    177,242.68x = 37,422,530,527.62
  5. Step 5: Solve for x
    x = 37,422,530,527.62/177,242.68
  6. Step 6: Final answer
    x = 211,137.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.