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Finding the Fourth Proportional to 177,313.69, 265,820.84 and 82,494.92

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Solution

The fourth proportional to 177,313.69, 265,820.84 and 82,494.92 is: 123,672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,313.69 : 265,820.84 = 82,494.92 : x
  2. Step 2: Convert to fraction form
    177,313.69/265,820.84 = 82,494.92/x
  3. Step 3: Cross multiply
    177,313.69x = 265,820.84 × 82,494.92
  4. Step 4: Simplify right side
    177,313.69x = 21,928,869,491.57
  5. Step 5: Solve for x
    x = 21,928,869,491.57/177,313.69
  6. Step 6: Final answer
    x = 123,672.74

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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.