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Finding the Fourth Proportional to 213,186.77, 294,195.84 and 117,691.41

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Solution

The fourth proportional to 213,186.77, 294,195.84 and 117,691.41 is: 162,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,186.77 : 294,195.84 = 117,691.41 : x
  2. Step 2: Convert to fraction form
    213,186.77/294,195.84 = 117,691.41/x
  3. Step 3: Cross multiply
    213,186.77x = 294,195.84 × 117,691.41
  4. Step 4: Simplify right side
    213,186.77x = 34,624,323,225.73
  5. Step 5: Solve for x
    x = 34,624,323,225.73/213,186.77
  6. Step 6: Final answer
    x = 162,413.10

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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.