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Finding the Fourth Proportional to 120,411, 166,168.88 and 69,422.68

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Solution

The fourth proportional to 120,411, 166,168.88 and 69,422.68 is: 95,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,411 : 166,168.88 = 69,422.68 : x
  2. Step 2: Convert to fraction form
    120,411/166,168.88 = 69,422.68/x
  3. Step 3: Cross multiply
    120,411x = 166,168.88 × 69,422.68
  4. Step 4: Simplify right side
    120,411x = 11,535,888,982.20
  5. Step 5: Solve for x
    x = 11,535,888,982.20/120,411
  6. Step 6: Final answer
    x = 95,804.28

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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.