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Finding the Fourth Proportional to 140,524.10, 193,927.88 and 76,861.88

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Solution

The fourth proportional to 140,524.10, 193,927.88 and 76,861.88 is: 106,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,524.10 : 193,927.88 = 76,861.88 : x
  2. Step 2: Convert to fraction form
    140,524.10/193,927.88 = 76,861.88/x
  3. Step 3: Cross multiply
    140,524.10x = 193,927.88 × 76,861.88
  4. Step 4: Simplify right side
    140,524.10x = 14,905,661,441.21
  5. Step 5: Solve for x
    x = 14,905,661,441.21/140,524.10
  6. Step 6: Final answer
    x = 106,071.92

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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.