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Finding the Fourth Proportional to 284,197.82, 392,193.03 and 156,873.44

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Solution

The fourth proportional to 284,197.82, 392,193.03 and 156,873.44 is: 216,485.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,197.82 : 392,193.03 = 156,873.44 : x
  2. Step 2: Convert to fraction form
    284,197.82/392,193.03 = 156,873.44/x
  3. Step 3: Cross multiply
    284,197.82x = 392,193.03 × 156,873.44
  4. Step 4: Simplify right side
    284,197.82x = 61,524,669,760.12
  5. Step 5: Solve for x
    x = 61,524,669,760.12/284,197.82
  6. Step 6: Final answer
    x = 216,485.37

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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.