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Finding the Fourth Proportional to 213,057.73, 294,021.05 and 116,268.40

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Solution

The fourth proportional to 213,057.73, 294,021.05 and 116,268.40 is: 160,451.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,057.73 : 294,021.05 = 116,268.40 : x
  2. Step 2: Convert to fraction form
    213,057.73/294,021.05 = 116,268.40/x
  3. Step 3: Cross multiply
    213,057.73x = 294,021.05 × 116,268.40
  4. Step 4: Simplify right side
    213,057.73x = 34,185,357,049.82
  5. Step 5: Solve for x
    x = 34,185,357,049.82/213,057.73
  6. Step 6: Final answer
    x = 160,451.15

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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.