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Finding the Fourth Proportional to 185,406.84, 255,861.72 and 100,523.97

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Solution

The fourth proportional to 185,406.84, 255,861.72 and 100,523.97 is: 138,723.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,406.84 : 255,861.72 = 100,523.97 : x
  2. Step 2: Convert to fraction form
    185,406.84/255,861.72 = 100,523.97/x
  3. Step 3: Cross multiply
    185,406.84x = 255,861.72 × 100,523.97
  4. Step 4: Simplify right side
    185,406.84x = 25,720,235,865.43
  5. Step 5: Solve for x
    x = 25,720,235,865.43/185,406.84
  6. Step 6: Final answer
    x = 138,723.23

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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.