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Finding the Fourth Proportional to 263,712.16, 395,524.52 and 95,200.20

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Solution

The fourth proportional to 263,712.16, 395,524.52 and 95,200.20 is: 142,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,712.16 : 395,524.52 = 95,200.20 : x
  2. Step 2: Convert to fraction form
    263,712.16/395,524.52 = 95,200.20/x
  3. Step 3: Cross multiply
    263,712.16x = 395,524.52 × 95,200.20
  4. Step 4: Simplify right side
    263,712.16x = 37,654,013,408.90
  5. Step 5: Solve for x
    x = 37,654,013,408.90/263,712.16
  6. Step 6: Final answer
    x = 142,784.52

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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.