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Finding the Fourth Proportional to 215,921.94, 297,972.71 and 120,434.82

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Solution

The fourth proportional to 215,921.94, 297,972.71 and 120,434.82 is: 166,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,921.94 : 297,972.71 = 120,434.82 : x
  2. Step 2: Convert to fraction form
    215,921.94/297,972.71 = 120,434.82/x
  3. Step 3: Cross multiply
    215,921.94x = 297,972.71 × 120,434.82
  4. Step 4: Simplify right side
    215,921.94x = 35,886,289,091.59
  5. Step 5: Solve for x
    x = 35,886,289,091.59/215,921.94
  6. Step 6: Final answer
    x = 166,200.29

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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.