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Finding the Fourth Proportional to 177,314.49, 265,621.82 and 132,991.29

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Solution

The fourth proportional to 177,314.49, 265,621.82 and 132,991.29 is: 199,224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,314.49 : 265,621.82 = 132,991.29 : x
  2. Step 2: Convert to fraction form
    177,314.49/265,621.82 = 132,991.29/x
  3. Step 3: Cross multiply
    177,314.49x = 265,621.82 × 132,991.29
  4. Step 4: Simplify right side
    177,314.49x = 35,325,387,828.99
  5. Step 5: Solve for x
    x = 35,325,387,828.99/177,314.49
  6. Step 6: Final answer
    x = 199,224.48

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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.