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Finding the Fourth Proportional to 264,064.40, 395,513.40 and 106,211.60

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Solution

The fourth proportional to 264,064.40, 395,513.40 and 106,211.60 is: 159,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,064.40 : 395,513.40 = 106,211.60 : x
  2. Step 2: Convert to fraction form
    264,064.40/395,513.40 = 106,211.60/x
  3. Step 3: Cross multiply
    264,064.40x = 395,513.40 × 106,211.60
  4. Step 4: Simplify right side
    264,064.40x = 42,008,111,035.44
  5. Step 5: Solve for x
    x = 42,008,111,035.44/264,064.40
  6. Step 6: Final answer
    x = 159,082.83

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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.