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Finding the Fourth Proportional to 264,800.40, 397,054.80 and 106,850.40

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Solution

The fourth proportional to 264,800.40, 397,054.80 and 106,850.40 is: 160,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,800.40 : 397,054.80 = 106,850.40 : x
  2. Step 2: Convert to fraction form
    264,800.40/397,054.80 = 106,850.40/x
  3. Step 3: Cross multiply
    264,800.40x = 397,054.80 × 106,850.40
  4. Step 4: Simplify right side
    264,800.40x = 42,425,464,201.92
  5. Step 5: Solve for x
    x = 42,425,464,201.92/264,800.40
  6. Step 6: Final answer
    x = 160,216.77

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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.