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Finding the Fourth Proportional to 180,003.60, 269,349.30 and 164,257.20

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Solution

The fourth proportional to 180,003.60, 269,349.30 and 164,257.20 is: 245,787.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,003.60 : 269,349.30 = 164,257.20 : x
  2. Step 2: Convert to fraction form
    180,003.60/269,349.30 = 164,257.20/x
  3. Step 3: Cross multiply
    180,003.60x = 269,349.30 × 164,257.20
  4. Step 4: Simplify right side
    180,003.60x = 44,242,561,839.96
  5. Step 5: Solve for x
    x = 44,242,561,839.96/180,003.60
  6. Step 6: Final answer
    x = 245,787.09

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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.