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Finding the Fourth Proportional to 106,289.40, 146,679.36 and 58,542.74

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Solution

The fourth proportional to 106,289.40, 146,679.36 and 58,542.74 is: 80,788.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,289.40 : 146,679.36 = 58,542.74 : x
  2. Step 2: Convert to fraction form
    106,289.40/146,679.36 = 58,542.74/x
  3. Step 3: Cross multiply
    106,289.40x = 146,679.36 × 58,542.74
  4. Step 4: Simplify right side
    106,289.40x = 8,587,010,902.45
  5. Step 5: Solve for x
    x = 8,587,010,902.45/106,289.40
  6. Step 6: Final answer
    x = 80,788.97

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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.