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Finding the Fourth Proportional to 196,072.50, 294,152.50 and 71,413.50

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Solution

The fourth proportional to 196,072.50, 294,152.50 and 71,413.50 is: 107,136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,072.50 : 294,152.50 = 71,413.50 : x
  2. Step 2: Convert to fraction form
    196,072.50/294,152.50 = 71,413.50/x
  3. Step 3: Cross multiply
    196,072.50x = 294,152.50 × 71,413.50
  4. Step 4: Simplify right side
    196,072.50x = 21,006,459,558.75
  5. Step 5: Solve for x
    x = 21,006,459,558.75/196,072.50
  6. Step 6: Final answer
    x = 107,136.18

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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.