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Finding the Fourth Proportional to 82,116.16, 123,092.22 and 70,825.77

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Solution

The fourth proportional to 82,116.16, 123,092.22 and 70,825.77 is: 106,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,116.16 : 123,092.22 = 70,825.77 : x
  2. Step 2: Convert to fraction form
    82,116.16/123,092.22 = 70,825.77/x
  3. Step 3: Cross multiply
    82,116.16x = 123,092.22 × 70,825.77
  4. Step 4: Simplify right side
    82,116.16x = 8,718,101,528.11
  5. Step 5: Solve for x
    x = 8,718,101,528.11/82,116.16
  6. Step 6: Final answer
    x = 106,167.92

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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.