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Finding the Fourth Proportional to 106,344.35, 146,761.74 and 58,597.69

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Solution

The fourth proportional to 106,344.35, 146,761.74 and 58,597.69 is: 80,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,344.35 : 146,761.74 = 58,597.69 : x
  2. Step 2: Convert to fraction form
    106,344.35/146,761.74 = 58,597.69/x
  3. Step 3: Cross multiply
    106,344.35x = 146,761.74 × 58,597.69
  4. Step 4: Simplify right side
    106,344.35x = 8,599,898,944.38
  5. Step 5: Solve for x
    x = 8,599,898,944.38/106,344.35
  6. Step 6: Final answer
    x = 80,868.41

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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.