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Finding the Fourth Proportional to 106,342.84, 146,759.67 and 58,596.18

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Solution

The fourth proportional to 106,342.84, 146,759.67 and 58,596.18 is: 80,866.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,342.84 : 146,759.67 = 58,596.18 : x
  2. Step 2: Convert to fraction form
    106,342.84/146,759.67 = 58,596.18/x
  3. Step 3: Cross multiply
    106,342.84x = 146,759.67 × 58,596.18
  4. Step 4: Simplify right side
    106,342.84x = 8,599,556,040.06
  5. Step 5: Solve for x
    x = 8,599,556,040.06/106,342.84
  6. Step 6: Final answer
    x = 80,866.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.