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Finding the Fourth Proportional to 195,876.96, 270,310.32 and 106,452.96

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Solution

The fourth proportional to 195,876.96, 270,310.32 and 106,452.96 is: 146,905.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,876.96 : 270,310.32 = 106,452.96 : x
  2. Step 2: Convert to fraction form
    195,876.96/270,310.32 = 106,452.96/x
  3. Step 3: Cross multiply
    195,876.96x = 270,310.32 × 106,452.96
  4. Step 4: Simplify right side
    195,876.96x = 28,775,333,682.55
  5. Step 5: Solve for x
    x = 28,775,333,682.55/195,876.96
  6. Step 6: Final answer
    x = 146,905.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.