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Finding the Fourth Proportional to 106,396.28, 146,827.84 and 58,651.32

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Solution

The fourth proportional to 106,396.28, 146,827.84 and 58,651.32 is: 80,939.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,396.28 : 146,827.84 = 58,651.32 : x
  2. Step 2: Convert to fraction form
    106,396.28/146,827.84 = 58,651.32/x
  3. Step 3: Cross multiply
    106,396.28x = 146,827.84 × 58,651.32
  4. Step 4: Simplify right side
    106,396.28x = 8,611,646,628.75
  5. Step 5: Solve for x
    x = 8,611,646,628.75/106,396.28
  6. Step 6: Final answer
    x = 80,939.36

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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.