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Finding the Fourth Proportional to 120,164.71, 165,828.38 and 66,453.34

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Solution

The fourth proportional to 120,164.71, 165,828.38 and 66,453.34 is: 91,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,164.71 : 165,828.38 = 66,453.34 : x
  2. Step 2: Convert to fraction form
    120,164.71/165,828.38 = 66,453.34/x
  3. Step 3: Cross multiply
    120,164.71x = 165,828.38 × 66,453.34
  4. Step 4: Simplify right side
    120,164.71x = 11,019,848,556.38
  5. Step 5: Solve for x
    x = 11,019,848,556.38/120,164.71
  6. Step 6: Final answer
    x = 91,706.20

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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.