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Finding the Fourth Proportional to 113,896.40, 170,844.60 and 75,842.60

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Solution

The fourth proportional to 113,896.40, 170,844.60 and 75,842.60 is: 113,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,896.40 : 170,844.60 = 75,842.60 : x
  2. Step 2: Convert to fraction form
    113,896.40/170,844.60 = 75,842.60/x
  3. Step 3: Cross multiply
    113,896.40x = 170,844.60 × 75,842.60
  4. Step 4: Simplify right side
    113,896.40x = 12,957,298,659.96
  5. Step 5: Solve for x
    x = 12,957,298,659.96/113,896.40
  6. Step 6: Final answer
    x = 113,763.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.