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Finding the Fourth Proportional to 123,651.45, 185,285.34 and 85,774.68

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Solution

The fourth proportional to 123,651.45, 185,285.34 and 85,774.68 is: 128,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,651.45 : 185,285.34 = 85,774.68 : x
  2. Step 2: Convert to fraction form
    123,651.45/185,285.34 = 85,774.68/x
  3. Step 3: Cross multiply
    123,651.45x = 185,285.34 × 85,774.68
  4. Step 4: Simplify right side
    123,651.45x = 15,892,790,747.19
  5. Step 5: Solve for x
    x = 15,892,790,747.19/123,651.45
  6. Step 6: Final answer
    x = 128,528.95

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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.