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Finding the Fourth Proportional to 213,184.96, 294,193.78 and 117,691.64

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Solution

The fourth proportional to 213,184.96, 294,193.78 and 117,691.64 is: 162,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,184.96 : 294,193.78 = 117,691.64 : x
  2. Step 2: Convert to fraction form
    213,184.96/294,193.78 = 117,691.64/x
  3. Step 3: Cross multiply
    213,184.96x = 294,193.78 × 117,691.64
  4. Step 4: Simplify right side
    213,184.96x = 34,624,148,446.00
  5. Step 5: Solve for x
    x = 34,624,148,446.00/213,184.96
  6. Step 6: Final answer
    x = 162,413.65

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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.