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Finding the Fourth Proportional to 140,139, 193,391.82 and 89,838

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Solution

The fourth proportional to 140,139, 193,391.82 and 89,838 is: 123,976.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,139 : 193,391.82 = 89,838 : x
  2. Step 2: Convert to fraction form
    140,139/193,391.82 = 89,838/x
  3. Step 3: Cross multiply
    140,139x = 193,391.82 × 89,838
  4. Step 4: Simplify right side
    140,139x = 17,373,934,325.16
  5. Step 5: Solve for x
    x = 17,373,934,325.16/140,139
  6. Step 6: Final answer
    x = 123,976.44

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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.