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Finding the Fourth Proportional to 132,020.72, 182,198.24 and 75,430.88

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Solution

The fourth proportional to 132,020.72, 182,198.24 and 75,430.88 is: 104,100.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,020.72 : 182,198.24 = 75,430.88 : x
  2. Step 2: Convert to fraction form
    132,020.72/182,198.24 = 75,430.88/x
  3. Step 3: Cross multiply
    132,020.72x = 182,198.24 × 75,430.88
  4. Step 4: Simplify right side
    132,020.72x = 13,743,373,577.65
  5. Step 5: Solve for x
    x = 13,743,373,577.65/132,020.72
  6. Step 6: Final answer
    x = 104,100.13

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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.