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Finding the Fourth Proportional to 215,895.24, 321,672.20 and 203,823

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Solution

The fourth proportional to 215,895.24, 321,672.20 and 203,823 is: 303,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,895.24 : 321,672.20 = 203,823 : x
  2. Step 2: Convert to fraction form
    215,895.24/321,672.20 = 203,823/x
  3. Step 3: Cross multiply
    215,895.24x = 321,672.20 × 203,823
  4. Step 4: Simplify right side
    215,895.24x = 65,564,191,801.49
  5. Step 5: Solve for x
    x = 65,564,191,801.49/215,895.24
  6. Step 6: Final answer
    x = 303,685.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.