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Finding the Fourth Proportional to 264,762.90, 397,341.23 and 106,992.72

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Solution

The fourth proportional to 264,762.90, 397,341.23 and 106,992.72 is: 160,568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,762.90 : 397,341.23 = 106,992.72 : x
  2. Step 2: Convert to fraction form
    264,762.90/397,341.23 = 106,992.72/x
  3. Step 3: Cross multiply
    264,762.90x = 397,341.23 × 106,992.72
  4. Step 4: Simplify right side
    264,762.90x = 42,512,618,965.85
  5. Step 5: Solve for x
    x = 42,512,618,965.85/264,762.90
  6. Step 6: Final answer
    x = 160,568.64

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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.