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Finding the Fourth Proportional to 283,699.38, 391,499.82 and 154,639.08

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Solution

The fourth proportional to 283,699.38, 391,499.82 and 154,639.08 is: 213,399.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,699.38 : 391,499.82 = 154,639.08 : x
  2. Step 2: Convert to fraction form
    283,699.38/391,499.82 = 154,639.08/x
  3. Step 3: Cross multiply
    283,699.38x = 391,499.82 × 154,639.08
  4. Step 4: Simplify right side
    283,699.38x = 60,541,171,984.97
  5. Step 5: Solve for x
    x = 60,541,171,984.97/283,699.38
  6. Step 6: Final answer
    x = 213,399.03

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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.