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Finding the Fourth Proportional to 129,413.50, 194,166.96 and 45,186.07

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Solution

The fourth proportional to 129,413.50, 194,166.96 and 45,186.07 is: 67,795.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,413.50 : 194,166.96 = 45,186.07 : x
  2. Step 2: Convert to fraction form
    129,413.50/194,166.96 = 45,186.07/x
  3. Step 3: Cross multiply
    129,413.50x = 194,166.96 × 45,186.07
  4. Step 4: Simplify right side
    129,413.50x = 8,773,641,555.45
  5. Step 5: Solve for x
    x = 8,773,641,555.45/129,413.50
  6. Step 6: Final answer
    x = 67,795.41

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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.