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Finding the Fourth Proportional to 129,413.37, 194,139.65 and 40,658.53

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Solution

The fourth proportional to 129,413.37, 194,139.65 and 40,658.53 is: 60,993.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,413.37 : 194,139.65 = 40,658.53 : x
  2. Step 2: Convert to fraction form
    129,413.37/194,139.65 = 40,658.53/x
  3. Step 3: Cross multiply
    129,413.37x = 194,139.65 × 40,658.53
  4. Step 4: Simplify right side
    129,413.37x = 7,893,432,783.71
  5. Step 5: Solve for x
    x = 7,893,432,783.71/129,413.37
  6. Step 6: Final answer
    x = 60,993.95

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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.