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Finding the Fourth Proportional to 213,711.96, 294,896.81 and 123,097.39

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Solution

The fourth proportional to 213,711.96, 294,896.81 and 123,097.39 is: 169,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,711.96 : 294,896.81 = 123,097.39 : x
  2. Step 2: Convert to fraction form
    213,711.96/294,896.81 = 123,097.39/x
  3. Step 3: Cross multiply
    213,711.96x = 294,896.81 × 123,097.39
  4. Step 4: Simplify right side
    213,711.96x = 36,301,027,614.27
  5. Step 5: Solve for x
    x = 36,301,027,614.27/213,711.96
  6. Step 6: Final answer
    x = 169,859.60

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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.