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Finding the Fourth Proportional to 130,764.72, 180,450 and 74,174.88

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Solution

The fourth proportional to 130,764.72, 180,450 and 74,174.88 is: 102,358.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,764.72 : 180,450 = 74,174.88 : x
  2. Step 2: Convert to fraction form
    130,764.72/180,450 = 74,174.88/x
  3. Step 3: Cross multiply
    130,764.72x = 180,450 × 74,174.88
  4. Step 4: Simplify right side
    130,764.72x = 13,384,857,096
  5. Step 5: Solve for x
    x = 13,384,857,096/130,764.72
  6. Step 6: Final answer
    x = 102,358.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.