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Finding the Fourth Proportional to 177,314.69, 265,822.34 and 82,495.92

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Solution

The fourth proportional to 177,314.69, 265,822.34 and 82,495.92 is: 123,674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,314.69 : 265,822.34 = 82,495.92 : x
  2. Step 2: Convert to fraction form
    177,314.69/265,822.34 = 82,495.92/x
  3. Step 3: Cross multiply
    177,314.69x = 265,822.34 × 82,495.92
  4. Step 4: Simplify right side
    177,314.69x = 21,929,258,494.85
  5. Step 5: Solve for x
    x = 21,929,258,494.85/177,314.69
  6. Step 6: Final answer
    x = 123,674.23

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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.