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Finding the Fourth Proportional to 129,094.65, 193,653.90 and 50,214.87

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Solution

The fourth proportional to 129,094.65, 193,653.90 and 50,214.87 is: 75,326.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,094.65 : 193,653.90 = 50,214.87 : x
  2. Step 2: Convert to fraction form
    129,094.65/193,653.90 = 50,214.87/x
  3. Step 3: Cross multiply
    129,094.65x = 193,653.90 × 50,214.87
  4. Step 4: Simplify right side
    129,094.65x = 9,724,305,413.49
  5. Step 5: Solve for x
    x = 9,724,305,413.49/129,094.65
  6. Step 6: Final answer
    x = 75,326.94

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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.