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Finding the Fourth Proportional to 252,096.96, 378,204.40 and 85,884.96

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Solution

The fourth proportional to 252,096.96, 378,204.40 and 85,884.96 is: 128,847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,096.96 : 378,204.40 = 85,884.96 : x
  2. Step 2: Convert to fraction form
    252,096.96/378,204.40 = 85,884.96/x
  3. Step 3: Cross multiply
    252,096.96x = 378,204.40 × 85,884.96
  4. Step 4: Simplify right side
    252,096.96x = 32,482,069,765.82
  5. Step 5: Solve for x
    x = 32,482,069,765.82/252,096.96
  6. Step 6: Final answer
    x = 128,847.53

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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.