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Finding the Fourth Proportional to 102,055.60, 140,884.56 and 68,121.40

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Solution

The fourth proportional to 102,055.60, 140,884.56 and 68,121.40 is: 94,039.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,055.60 : 140,884.56 = 68,121.40 : x
  2. Step 2: Convert to fraction form
    102,055.60/140,884.56 = 68,121.40/x
  3. Step 3: Cross multiply
    102,055.60x = 140,884.56 × 68,121.40
  4. Step 4: Simplify right side
    102,055.60x = 9,597,253,465.58
  5. Step 5: Solve for x
    x = 9,597,253,465.58/102,055.60
  6. Step 6: Final answer
    x = 94,039.46

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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.