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Finding the Fourth Proportional to 215,158.22, 296,928.86 and 119,662.87

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Solution

The fourth proportional to 215,158.22, 296,928.86 and 119,662.87 is: 165,140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,158.22 : 296,928.86 = 119,662.87 : x
  2. Step 2: Convert to fraction form
    215,158.22/296,928.86 = 119,662.87/x
  3. Step 3: Cross multiply
    215,158.22x = 296,928.86 × 119,662.87
  4. Step 4: Simplify right side
    215,158.22x = 35,531,359,573.43
  5. Step 5: Solve for x
    x = 35,531,359,573.43/215,158.22
  6. Step 6: Final answer
    x = 165,140.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.