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Finding the Fourth Proportional to 137,413.67, 189,643.07 and 76,983.92

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Solution

The fourth proportional to 137,413.67, 189,643.07 and 76,983.92 is: 106,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,413.67 : 189,643.07 = 76,983.92 : x
  2. Step 2: Convert to fraction form
    137,413.67/189,643.07 = 76,983.92/x
  3. Step 3: Cross multiply
    137,413.67x = 189,643.07 × 76,983.92
  4. Step 4: Simplify right side
    137,413.67x = 14,599,466,884.84
  5. Step 5: Solve for x
    x = 14,599,466,884.84/137,413.67
  6. Step 6: Final answer
    x = 106,244.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.