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Finding the Fourth Proportional to 139,385.40, 192,368.34 and 82,797

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Solution

The fourth proportional to 139,385.40, 192,368.34 and 82,797 is: 114,269.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,385.40 : 192,368.34 = 82,797 : x
  2. Step 2: Convert to fraction form
    139,385.40/192,368.34 = 82,797/x
  3. Step 3: Cross multiply
    139,385.40x = 192,368.34 × 82,797
  4. Step 4: Simplify right side
    139,385.40x = 15,927,521,446.98
  5. Step 5: Solve for x
    x = 15,927,521,446.98/139,385.40
  6. Step 6: Final answer
    x = 114,269.65

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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.