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Finding the Fourth Proportional to 110,201.70, 165,302.49 and 51,005.08

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Solution

The fourth proportional to 110,201.70, 165,302.49 and 51,005.08 is: 76,507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,201.70 : 165,302.49 = 51,005.08 : x
  2. Step 2: Convert to fraction form
    110,201.70/165,302.49 = 51,005.08/x
  3. Step 3: Cross multiply
    110,201.70x = 165,302.49 × 51,005.08
  4. Step 4: Simplify right side
    110,201.70x = 8,431,266,726.65
  5. Step 5: Solve for x
    x = 8,431,266,726.65/110,201.70
  6. Step 6: Final answer
    x = 76,507.59

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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.