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Finding the Fourth Proportional to 146,846.52, 202,658.22 and 83,184.84

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Solution

The fourth proportional to 146,846.52, 202,658.22 and 83,184.84 is: 114,800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,846.52 : 202,658.22 = 83,184.84 : x
  2. Step 2: Convert to fraction form
    146,846.52/202,658.22 = 83,184.84/x
  3. Step 3: Cross multiply
    146,846.52x = 202,658.22 × 83,184.84
  4. Step 4: Simplify right side
    146,846.52x = 16,858,091,605.38
  5. Step 5: Solve for x
    x = 16,858,091,605.38/146,846.52
  6. Step 6: Final answer
    x = 114,800.76

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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.