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Finding the Fourth Proportional to 289,530.53, 434,353.85 and 99,997.85

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Solution

The fourth proportional to 289,530.53, 434,353.85 and 99,997.85 is: 150,016.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,530.53 : 434,353.85 = 99,997.85 : x
  2. Step 2: Convert to fraction form
    289,530.53/434,353.85 = 99,997.85/x
  3. Step 3: Cross multiply
    289,530.53x = 434,353.85 × 99,997.85
  4. Step 4: Simplify right side
    289,530.53x = 43,434,451,139.22
  5. Step 5: Solve for x
    x = 43,434,451,139.22/289,530.53
  6. Step 6: Final answer
    x = 150,016.83

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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.