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Finding the Fourth Proportional to 106,399.80, 146,826.24 and 58,644.24

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Solution

The fourth proportional to 106,399.80, 146,826.24 and 58,644.24 is: 80,926.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,399.80 : 146,826.24 = 58,644.24 : x
  2. Step 2: Convert to fraction form
    106,399.80/146,826.24 = 58,644.24/x
  3. Step 3: Cross multiply
    106,399.80x = 146,826.24 × 58,644.24
  4. Step 4: Simplify right side
    106,399.80x = 8,610,513,256.86
  5. Step 5: Solve for x
    x = 8,610,513,256.86/106,399.80
  6. Step 6: Final answer
    x = 80,926.03

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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.