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Finding the Fourth Proportional to 139,957, 193,209.61 and 96,969.09

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Solution

The fourth proportional to 139,957, 193,209.61 and 96,969.09 is: 133,865.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,957 : 193,209.61 = 96,969.09 : x
  2. Step 2: Convert to fraction form
    139,957/193,209.61 = 96,969.09/x
  3. Step 3: Cross multiply
    139,957x = 193,209.61 × 96,969.09
  4. Step 4: Simplify right side
    139,957x = 18,735,360,060.95
  5. Step 5: Solve for x
    x = 18,735,360,060.95/139,957
  6. Step 6: Final answer
    x = 133,865.12

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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.