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Finding the Fourth Proportional to 264,002.80, 396,101.40 and 106,344.40

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Solution

The fourth proportional to 264,002.80, 396,101.40 and 106,344.40 is: 159,555.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,002.80 : 396,101.40 = 106,344.40 : x
  2. Step 2: Convert to fraction form
    264,002.80/396,101.40 = 106,344.40/x
  3. Step 3: Cross multiply
    264,002.80x = 396,101.40 × 106,344.40
  4. Step 4: Simplify right side
    264,002.80x = 42,123,165,722.16
  5. Step 5: Solve for x
    x = 42,123,165,722.16/264,002.80
  6. Step 6: Final answer
    x = 159,555.75

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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.