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Finding the Fourth Proportional to 213,147.87, 294,146.52 and 117,654.66

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Solution

The fourth proportional to 213,147.87, 294,146.52 and 117,654.66 is: 162,364.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,147.87 : 294,146.52 = 117,654.66 : x
  2. Step 2: Convert to fraction form
    213,147.87/294,146.52 = 117,654.66/x
  3. Step 3: Cross multiply
    213,147.87x = 294,146.52 × 117,654.66
  4. Step 4: Simplify right side
    213,147.87x = 34,607,708,800.78
  5. Step 5: Solve for x
    x = 34,607,708,800.78/213,147.87
  6. Step 6: Final answer
    x = 162,364.79

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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.