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Finding the Fourth Proportional to 257,231.66, 354,666.02 and 189,041

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Solution

The fourth proportional to 257,231.66, 354,666.02 and 189,041 is: 260,646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,231.66 : 354,666.02 = 189,041 : x
  2. Step 2: Convert to fraction form
    257,231.66/354,666.02 = 189,041/x
  3. Step 3: Cross multiply
    257,231.66x = 354,666.02 × 189,041
  4. Step 4: Simplify right side
    257,231.66x = 67,046,419,086.82
  5. Step 5: Solve for x
    x = 67,046,419,086.82/257,231.66
  6. Step 6: Final answer
    x = 260,646.06

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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.