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Finding the Fourth Proportional to 215,872.77, 297,986.49 and 162,313.32

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Solution

The fourth proportional to 215,872.77, 297,986.49 and 162,313.32 is: 224,054.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,872.77 : 297,986.49 = 162,313.32 : x
  2. Step 2: Convert to fraction form
    215,872.77/297,986.49 = 162,313.32/x
  3. Step 3: Cross multiply
    215,872.77x = 297,986.49 × 162,313.32
  4. Step 4: Simplify right side
    215,872.77x = 48,367,176,507.05
  5. Step 5: Solve for x
    x = 48,367,176,507.05/215,872.77
  6. Step 6: Final answer
    x = 224,054.09

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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.