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Finding the Fourth Proportional to 231,413.84, 347,128.40 and 79,609.40

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Solution

The fourth proportional to 231,413.84, 347,128.40 and 79,609.40 is: 119,416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,413.84 : 347,128.40 = 79,609.40 : x
  2. Step 2: Convert to fraction form
    231,413.84/347,128.40 = 79,609.40/x
  3. Step 3: Cross multiply
    231,413.84x = 347,128.40 × 79,609.40
  4. Step 4: Simplify right side
    231,413.84x = 27,634,683,646.96
  5. Step 5: Solve for x
    x = 27,634,683,646.96/231,413.84
  6. Step 6: Final answer
    x = 119,416.73

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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.