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Finding the Fourth Proportional to 177,011.40, 265,441.50 and 82,183.08

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Solution

The fourth proportional to 177,011.40, 265,441.50 and 82,183.08 is: 123,239.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,011.40 : 265,441.50 = 82,183.08 : x
  2. Step 2: Convert to fraction form
    177,011.40/265,441.50 = 82,183.08/x
  3. Step 3: Cross multiply
    177,011.40x = 265,441.50 × 82,183.08
  4. Step 4: Simplify right side
    177,011.40x = 21,814,800,029.82
  5. Step 5: Solve for x
    x = 21,814,800,029.82/177,011.40
  6. Step 6: Final answer
    x = 123,239.52

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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.