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Finding the Fourth Proportional to 131,594.57, 197,408.25 and 42,824.24

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Solution

The fourth proportional to 131,594.57, 197,408.25 and 42,824.24 is: 64,241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,594.57 : 197,408.25 = 42,824.24 : x
  2. Step 2: Convert to fraction form
    131,594.57/197,408.25 = 42,824.24/x
  3. Step 3: Cross multiply
    131,594.57x = 197,408.25 × 42,824.24
  4. Step 4: Simplify right side
    131,594.57x = 8,453,857,288.94
  5. Step 5: Solve for x
    x = 8,453,857,288.94/131,594.57
  6. Step 6: Final answer
    x = 64,241.69

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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.