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Finding the Fourth Proportional to 120,532.16, 166,323.17 and 66,812.60

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Solution

The fourth proportional to 120,532.16, 166,323.17 and 66,812.60 is: 92,195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,532.16 : 166,323.17 = 66,812.60 : x
  2. Step 2: Convert to fraction form
    120,532.16/166,323.17 = 66,812.60/x
  3. Step 3: Cross multiply
    120,532.16x = 166,323.17 × 66,812.60
  4. Step 4: Simplify right side
    120,532.16x = 11,112,483,427.94
  5. Step 5: Solve for x
    x = 11,112,483,427.94/120,532.16
  6. Step 6: Final answer
    x = 92,195.17

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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.