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Finding the Fourth Proportional to 142,564.68, 196,738.63 and 82,146.08

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Solution

The fourth proportional to 142,564.68, 196,738.63 and 82,146.08 is: 113,361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,564.68 : 196,738.63 = 82,146.08 : x
  2. Step 2: Convert to fraction form
    142,564.68/196,738.63 = 82,146.08/x
  3. Step 3: Cross multiply
    142,564.68x = 196,738.63 × 82,146.08
  4. Step 4: Simplify right side
    142,564.68x = 16,161,307,525.55
  5. Step 5: Solve for x
    x = 16,161,307,525.55/142,564.68
  6. Step 6: Final answer
    x = 113,361.23

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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.