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Finding the Fourth Proportional to 113,823.72, 170,322.42 and 82,296.90

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Solution

The fourth proportional to 113,823.72, 170,322.42 and 82,296.90 is: 123,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,823.72 : 170,322.42 = 82,296.90 : x
  2. Step 2: Convert to fraction form
    113,823.72/170,322.42 = 82,296.90/x
  3. Step 3: Cross multiply
    113,823.72x = 170,322.42 × 82,296.90
  4. Step 4: Simplify right side
    113,823.72x = 14,017,007,166.50
  5. Step 5: Solve for x
    x = 14,017,007,166.50/113,823.72
  6. Step 6: Final answer
    x = 123,146.63

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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.