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Finding the Fourth Proportional to 129,413.69, 194,167.24 and 45,186.26

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Solution

The fourth proportional to 129,413.69, 194,167.24 and 45,186.26 is: 67,795.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,413.69 : 194,167.24 = 45,186.26 : x
  2. Step 2: Convert to fraction form
    129,413.69/194,167.24 = 45,186.26/x
  3. Step 3: Cross multiply
    129,413.69x = 194,167.24 × 45,186.26
  4. Step 4: Simplify right side
    129,413.69x = 8,773,690,306.32
  5. Step 5: Solve for x
    x = 8,773,690,306.32/129,413.69
  6. Step 6: Final answer
    x = 67,795.69

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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.