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Finding the Fourth Proportional to 106,412.57, 146,850.35 and 58,667.63

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Solution

The fourth proportional to 106,412.57, 146,850.35 and 58,667.63 is: 80,961.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,412.57 : 146,850.35 = 58,667.63 : x
  2. Step 2: Convert to fraction form
    106,412.57/146,850.35 = 58,667.63/x
  3. Step 3: Cross multiply
    106,412.57x = 146,850.35 × 58,667.63
  4. Step 4: Simplify right side
    106,412.57x = 8,615,361,301.59
  5. Step 5: Solve for x
    x = 8,615,361,301.59/106,412.57
  6. Step 6: Final answer
    x = 80,961.88

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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.