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Finding the Fourth Proportional to 180,004.60, 269,350.80 and 164,258.20

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Solution

The fourth proportional to 180,004.60, 269,350.80 and 164,258.20 is: 245,788.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,004.60 : 269,350.80 = 164,258.20 : x
  2. Step 2: Convert to fraction form
    180,004.60/269,350.80 = 164,258.20/x
  3. Step 3: Cross multiply
    180,004.60x = 269,350.80 × 164,258.20
  4. Step 4: Simplify right side
    180,004.60x = 44,243,077,576.56
  5. Step 5: Solve for x
    x = 44,243,077,576.56/180,004.60
  6. Step 6: Final answer
    x = 245,788.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.