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Finding the Fourth Proportional to 174,721.20, 262,081.80 and 81,409.20

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Solution

The fourth proportional to 174,721.20, 262,081.80 and 81,409.20 is: 122,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,721.20 : 262,081.80 = 81,409.20 : x
  2. Step 2: Convert to fraction form
    174,721.20/262,081.80 = 81,409.20/x
  3. Step 3: Cross multiply
    174,721.20x = 262,081.80 × 81,409.20
  4. Step 4: Simplify right side
    174,721.20x = 21,335,869,672.56
  5. Step 5: Solve for x
    x = 21,335,869,672.56/174,721.20
  6. Step 6: Final answer
    x = 122,113.80

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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.