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Finding the Fourth Proportional to 215,213.94, 297,006.21 and 119,722.50

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Solution

The fourth proportional to 215,213.94, 297,006.21 and 119,722.50 is: 165,223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,213.94 : 297,006.21 = 119,722.50 : x
  2. Step 2: Convert to fraction form
    215,213.94/297,006.21 = 119,722.50/x
  3. Step 3: Cross multiply
    215,213.94x = 297,006.21 × 119,722.50
  4. Step 4: Simplify right side
    215,213.94x = 35,558,325,976.73
  5. Step 5: Solve for x
    x = 35,558,325,976.73/215,213.94
  6. Step 6: Final answer
    x = 165,223.15

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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.