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Finding the Fourth Proportional to 106,369.72, 146,789.92 and 58,623.06

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Solution

The fourth proportional to 106,369.72, 146,789.92 and 58,623.06 is: 80,899.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,369.72 : 146,789.92 = 58,623.06 : x
  2. Step 2: Convert to fraction form
    106,369.72/146,789.92 = 58,623.06/x
  3. Step 3: Cross multiply
    106,369.72x = 146,789.92 × 58,623.06
  4. Step 4: Simplify right side
    106,369.72x = 8,605,274,085.60
  5. Step 5: Solve for x
    x = 8,605,274,085.60/106,369.72
  6. Step 6: Final answer
    x = 80,899.66

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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.