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Finding the Fourth Proportional to 136,992.76, 189,046.24 and 76,563.64

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Solution

The fourth proportional to 136,992.76, 189,046.24 and 76,563.64 is: 105,655.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,992.76 : 189,046.24 = 76,563.64 : x
  2. Step 2: Convert to fraction form
    136,992.76/189,046.24 = 76,563.64/x
  3. Step 3: Cross multiply
    136,992.76x = 189,046.24 × 76,563.64
  4. Step 4: Simplify right side
    136,992.76x = 14,474,068,262.71
  5. Step 5: Solve for x
    x = 14,474,068,262.71/136,992.76
  6. Step 6: Final answer
    x = 105,655.72

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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.