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Finding the Fourth Proportional to 264,101.80, 396,170.94 and 106,330.60

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Solution

The fourth proportional to 264,101.80, 396,170.94 and 106,330.60 is: 159,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,101.80 : 396,170.94 = 106,330.60 : x
  2. Step 2: Convert to fraction form
    264,101.80/396,170.94 = 106,330.60/x
  3. Step 3: Cross multiply
    264,101.80x = 396,170.94 × 106,330.60
  4. Step 4: Simplify right side
    264,101.80x = 42,125,093,752.76
  5. Step 5: Solve for x
    x = 42,125,093,752.76/264,101.80
  6. Step 6: Final answer
    x = 159,503.24

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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.