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Finding the Fourth Proportional to 121,413.69, 182,136.02 and 65,176.65

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Solution

The fourth proportional to 121,413.69, 182,136.02 and 65,176.65 is: 97,773.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,413.69 : 182,136.02 = 65,176.65 : x
  2. Step 2: Convert to fraction form
    121,413.69/182,136.02 = 65,176.65/x
  3. Step 3: Cross multiply
    121,413.69x = 182,136.02 × 65,176.65
  4. Step 4: Simplify right side
    121,413.69x = 11,871,015,302.05
  5. Step 5: Solve for x
    x = 11,871,015,302.05/121,413.69
  6. Step 6: Final answer
    x = 97,773.28

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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.