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Finding the Fourth Proportional to 171,470.80, 256,768.80 and 136,478.80

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Solution

The fourth proportional to 171,470.80, 256,768.80 and 136,478.80 is: 204,370.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,470.80 : 256,768.80 = 136,478.80 : x
  2. Step 2: Convert to fraction form
    171,470.80/256,768.80 = 136,478.80/x
  3. Step 3: Cross multiply
    171,470.80x = 256,768.80 × 136,478.80
  4. Step 4: Simplify right side
    171,470.80x = 35,043,497,701.44
  5. Step 5: Solve for x
    x = 35,043,497,701.44/171,470.80
  6. Step 6: Final answer
    x = 204,370.06

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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.