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Finding the Fourth Proportional to 264,459.84, 396,552.96 and 106,645.44

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Solution

The fourth proportional to 264,459.84, 396,552.96 and 106,645.44 is: 159,912.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,459.84 : 396,552.96 = 106,645.44 : x
  2. Step 2: Convert to fraction form
    264,459.84/396,552.96 = 106,645.44/x
  3. Step 3: Cross multiply
    264,459.84x = 396,552.96 × 106,645.44
  4. Step 4: Simplify right side
    264,459.84x = 42,290,564,902.50
  5. Step 5: Solve for x
    x = 42,290,564,902.50/264,459.84
  6. Step 6: Final answer
    x = 159,912.99

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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.