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Finding the Fourth Proportional to 442,179.84, 663,269.76 and 109,755.84

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Solution

The fourth proportional to 442,179.84, 663,269.76 and 109,755.84 is: 164,633.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,179.84 : 663,269.76 = 109,755.84 : x
  2. Step 2: Convert to fraction form
    442,179.84/663,269.76 = 109,755.84/x
  3. Step 3: Cross multiply
    442,179.84x = 663,269.76 × 109,755.84
  4. Step 4: Simplify right side
    442,179.84x = 72,797,729,655.40
  5. Step 5: Solve for x
    x = 72,797,729,655.40/442,179.84
  6. Step 6: Final answer
    x = 164,633.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.