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Finding the Fourth Proportional to 106,164.38, 146,502.60 and 58,412.45

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Solution

The fourth proportional to 106,164.38, 146,502.60 and 58,412.45 is: 80,606.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,164.38 : 146,502.60 = 58,412.45 : x
  2. Step 2: Convert to fraction form
    106,164.38/146,502.60 = 58,412.45/x
  3. Step 3: Cross multiply
    106,164.38x = 146,502.60 × 58,412.45
  4. Step 4: Simplify right side
    106,164.38x = 8,557,575,797.37
  5. Step 5: Solve for x
    x = 8,557,575,797.37/106,164.38
  6. Step 6: Final answer
    x = 80,606.85

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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.