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Finding the Fourth Proportional to 227,167.92, 313,493.76 and 142,334.64

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Solution

The fourth proportional to 227,167.92, 313,493.76 and 142,334.64 is: 196,423.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,167.92 : 313,493.76 = 142,334.64 : x
  2. Step 2: Convert to fraction form
    227,167.92/313,493.76 = 142,334.64/x
  3. Step 3: Cross multiply
    227,167.92x = 313,493.76 × 142,334.64
  4. Step 4: Simplify right side
    227,167.92x = 44,621,021,471.85
  5. Step 5: Solve for x
    x = 44,621,021,471.85/227,167.92
  6. Step 6: Final answer
    x = 196,423.08

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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.