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Finding the Fourth Proportional to 106,212.39, 146,573.07 and 58,465.50

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Solution

The fourth proportional to 106,212.39, 146,573.07 and 58,465.50 is: 80,682.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,212.39 : 146,573.07 = 58,465.50 : x
  2. Step 2: Convert to fraction form
    106,212.39/146,573.07 = 58,465.50/x
  3. Step 3: Cross multiply
    106,212.39x = 146,573.07 × 58,465.50
  4. Step 4: Simplify right side
    106,212.39x = 8,569,467,824.09
  5. Step 5: Solve for x
    x = 8,569,467,824.09/106,212.39
  6. Step 6: Final answer
    x = 80,682.37

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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.