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Finding the Fourth Proportional to 156,082.55, 215,394.47 and 84,462.56

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Solution

The fourth proportional to 156,082.55, 215,394.47 and 84,462.56 is: 116,558.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,082.55 : 215,394.47 = 84,462.56 : x
  2. Step 2: Convert to fraction form
    156,082.55/215,394.47 = 84,462.56/x
  3. Step 3: Cross multiply
    156,082.55x = 215,394.47 × 84,462.56
  4. Step 4: Simplify right side
    156,082.55x = 18,192,766,846.76
  5. Step 5: Solve for x
    x = 18,192,766,846.76/156,082.55
  6. Step 6: Final answer
    x = 116,558.63

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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.