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Finding the Fourth Proportional to 137,179.85, 189,315.54 and 76,746.87

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Solution

The fourth proportional to 137,179.85, 189,315.54 and 76,746.87 is: 105,914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,179.85 : 189,315.54 = 76,746.87 : x
  2. Step 2: Convert to fraction form
    137,179.85/189,315.54 = 76,746.87/x
  3. Step 3: Cross multiply
    137,179.85x = 189,315.54 × 76,746.87
  4. Step 4: Simplify right side
    137,179.85x = 14,529,375,137.36
  5. Step 5: Solve for x
    x = 14,529,375,137.36/137,179.85
  6. Step 6: Final answer
    x = 105,914.79

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