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Finding the Fourth Proportional to 264,369.84, 396,573.12 and 106,599.84

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Solution

The fourth proportional to 264,369.84, 396,573.12 and 106,599.84 is: 159,907.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,369.84 : 396,573.12 = 106,599.84 : x
  2. Step 2: Convert to fraction form
    264,369.84/396,573.12 = 106,599.84/x
  3. Step 3: Cross multiply
    264,369.84x = 396,573.12 × 106,599.84
  4. Step 4: Simplify right side
    264,369.84x = 42,274,631,140.30
  5. Step 5: Solve for x
    x = 42,274,631,140.30/264,369.84
  6. Step 6: Final answer
    x = 159,907.16

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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.