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Finding the Fourth Proportional to 106,202.64, 146,558.48 and 58,454.96

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Solution

The fourth proportional to 106,202.64, 146,558.48 and 58,454.96 is: 80,667.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,202.64 : 146,558.48 = 58,454.96 : x
  2. Step 2: Convert to fraction form
    106,202.64/146,558.48 = 58,454.96/x
  3. Step 3: Cross multiply
    106,202.64x = 146,558.48 × 58,454.96
  4. Step 4: Simplify right side
    106,202.64x = 8,567,070,086.06
  5. Step 5: Solve for x
    x = 8,567,070,086.06/106,202.64
  6. Step 6: Final answer
    x = 80,667.20

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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.