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Finding the Fourth Proportional to 264,856.90, 397,139.55 and 106,906.90

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Solution

The fourth proportional to 264,856.90, 397,139.55 and 106,906.90 is: 160,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,856.90 : 397,139.55 = 106,906.90 : x
  2. Step 2: Convert to fraction form
    264,856.90/397,139.55 = 106,906.90/x
  3. Step 3: Cross multiply
    264,856.90x = 397,139.55 × 106,906.90
  4. Step 4: Simplify right side
    264,856.90x = 42,456,958,157.90
  5. Step 5: Solve for x
    x = 42,456,958,157.90/264,856.90
  6. Step 6: Final answer
    x = 160,301.50

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1.5x scale

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.