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Finding the Fourth Proportional to 128,935.40, 193,403.10 and 81,696.20

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Solution

The fourth proportional to 128,935.40, 193,403.10 and 81,696.20 is: 122,544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,935.40 : 193,403.10 = 81,696.20 : x
  2. Step 2: Convert to fraction form
    128,935.40/193,403.10 = 81,696.20/x
  3. Step 3: Cross multiply
    128,935.40x = 193,403.10 × 81,696.20
  4. Step 4: Simplify right side
    128,935.40x = 15,800,298,338.22
  5. Step 5: Solve for x
    x = 15,800,298,338.22/128,935.40
  6. Step 6: Final answer
    x = 122,544.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.