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Finding the Fourth Proportional to 192,298, 265,198.86 and 160,139.11

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Solution

The fourth proportional to 192,298, 265,198.86 and 160,139.11 is: 220,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,298 : 265,198.86 = 160,139.11 : x
  2. Step 2: Convert to fraction form
    192,298/265,198.86 = 160,139.11/x
  3. Step 3: Cross multiply
    192,298x = 265,198.86 × 160,139.11
  4. Step 4: Simplify right side
    192,298x = 42,468,709,413.41
  5. Step 5: Solve for x
    x = 42,468,709,413.41/192,298
  6. Step 6: Final answer
    x = 220,848.42

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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.