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Finding the Fourth Proportional to 257,198.96, 354,924.78 and 144,016.04

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Solution

The fourth proportional to 257,198.96, 354,924.78 and 144,016.04 is: 198,736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,198.96 : 354,924.78 = 144,016.04 : x
  2. Step 2: Convert to fraction form
    257,198.96/354,924.78 = 144,016.04/x
  3. Step 3: Cross multiply
    257,198.96x = 354,924.78 × 144,016.04
  4. Step 4: Simplify right side
    257,198.96x = 51,114,861,313.47
  5. Step 5: Solve for x
    x = 51,114,861,313.47/257,198.96
  6. Step 6: Final answer
    x = 198,736.66

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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.