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Finding the Fourth Proportional to 177,003.76, 265,361.62 and 82,293.68

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Solution

The fourth proportional to 177,003.76, 265,361.62 and 82,293.68 is: 123,373.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,003.76 : 265,361.62 = 82,293.68 : x
  2. Step 2: Convert to fraction form
    177,003.76/265,361.62 = 82,293.68/x
  3. Step 3: Cross multiply
    177,003.76x = 265,361.62 × 82,293.68
  4. Step 4: Simplify right side
    177,003.76x = 21,837,584,240.56
  5. Step 5: Solve for x
    x = 21,837,584,240.56/177,003.76
  6. Step 6: Final answer
    x = 123,373.56

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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.