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Finding the Fourth Proportional to 283,959.96, 391,866.30 and 156,635.52

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Solution

The fourth proportional to 283,959.96, 391,866.30 and 156,635.52 is: 216,157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,959.96 : 391,866.30 = 156,635.52 : x
  2. Step 2: Convert to fraction form
    283,959.96/391,866.30 = 156,635.52/x
  3. Step 3: Cross multiply
    283,959.96x = 391,866.30 × 156,635.52
  4. Step 4: Simplify right side
    283,959.96x = 61,380,181,670.98
  5. Step 5: Solve for x
    x = 61,380,181,670.98/283,959.96
  6. Step 6: Final answer
    x = 216,157.88

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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.