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Finding the Fourth Proportional to 137,934.20, 206,901.30 and 102,942.20

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Solution

The fourth proportional to 137,934.20, 206,901.30 and 102,942.20 is: 154,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,934.20 : 206,901.30 = 102,942.20 : x
  2. Step 2: Convert to fraction form
    137,934.20/206,901.30 = 102,942.20/x
  3. Step 3: Cross multiply
    137,934.20x = 206,901.30 × 102,942.20
  4. Step 4: Simplify right side
    137,934.20x = 21,298,875,004.86
  5. Step 5: Solve for x
    x = 21,298,875,004.86/137,934.20
  6. Step 6: Final answer
    x = 154,413.30

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