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Finding the Fourth Proportional to 139,914.22, 193,082.70 and 76,251.82

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Solution

The fourth proportional to 139,914.22, 193,082.70 and 76,251.82 is: 105,228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,914.22 : 193,082.70 = 76,251.82 : x
  2. Step 2: Convert to fraction form
    139,914.22/193,082.70 = 76,251.82/x
  3. Step 3: Cross multiply
    139,914.22x = 193,082.70 × 76,251.82
  4. Step 4: Simplify right side
    139,914.22x = 14,722,907,285.51
  5. Step 5: Solve for x
    x = 14,722,907,285.51/139,914.22
  6. Step 6: Final answer
    x = 105,228.10

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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.