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Finding the Fourth Proportional to 119,558.38, 164,989.32 and 65,842.26

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Solution

The fourth proportional to 119,558.38, 164,989.32 and 65,842.26 is: 90,861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,558.38 : 164,989.32 = 65,842.26 : x
  2. Step 2: Convert to fraction form
    119,558.38/164,989.32 = 65,842.26/x
  3. Step 3: Cross multiply
    119,558.38x = 164,989.32 × 65,842.26
  4. Step 4: Simplify right side
    119,558.38x = 10,863,269,704.66
  5. Step 5: Solve for x
    x = 10,863,269,704.66/119,558.38
  6. Step 6: Final answer
    x = 90,861.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.