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Finding the Fourth Proportional to 139,493.60, 192,498.90 and 75,833

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Solution

The fourth proportional to 139,493.60, 192,498.90 and 75,833 is: 104,648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,493.60 : 192,498.90 = 75,833 : x
  2. Step 2: Convert to fraction form
    139,493.60/192,498.90 = 75,833/x
  3. Step 3: Cross multiply
    139,493.60x = 192,498.90 × 75,833
  4. Step 4: Simplify right side
    139,493.60x = 14,597,769,083.70
  5. Step 5: Solve for x
    x = 14,597,769,083.70/139,493.60
  6. Step 6: Final answer
    x = 104,648.31

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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.