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Finding the Fourth Proportional to 120,429.81, 179,912.22 and 77,963.94

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Solution

The fourth proportional to 120,429.81, 179,912.22 and 77,963.94 is: 116,471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,429.81 : 179,912.22 = 77,963.94 : x
  2. Step 2: Convert to fraction form
    120,429.81/179,912.22 = 77,963.94/x
  3. Step 3: Cross multiply
    120,429.81x = 179,912.22 × 77,963.94
  4. Step 4: Simplify right side
    120,429.81x = 14,026,665,525.35
  5. Step 5: Solve for x
    x = 14,026,665,525.35/120,429.81
  6. Step 6: Final answer
    x = 116,471.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.