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Finding the Fourth Proportional to 283,499.88, 391,202.91 and 162,651.12

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Solution

The fourth proportional to 283,499.88, 391,202.91 and 162,651.12 is: 224,443.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,499.88 : 391,202.91 = 162,651.12 : x
  2. Step 2: Convert to fraction form
    283,499.88/391,202.91 = 162,651.12/x
  3. Step 3: Cross multiply
    283,499.88x = 391,202.91 × 162,651.12
  4. Step 4: Simplify right side
    283,499.88x = 63,629,591,458.76
  5. Step 5: Solve for x
    x = 63,629,591,458.76/283,499.88
  6. Step 6: Final answer
    x = 224,443.10

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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.