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Finding the Fourth Proportional to 180,007.60, 269,355.30 and 164,261.20

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Solution

The fourth proportional to 180,007.60, 269,355.30 and 164,261.20 is: 245,793.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,007.60 : 269,355.30 = 164,261.20 : x
  2. Step 2: Convert to fraction form
    180,007.60/269,355.30 = 164,261.20/x
  3. Step 3: Cross multiply
    180,007.60x = 269,355.30 × 164,261.20
  4. Step 4: Simplify right side
    180,007.60x = 44,244,624,804.36
  5. Step 5: Solve for x
    x = 44,244,624,804.36/180,007.60
  6. Step 6: Final answer
    x = 245,793.09

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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.