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Finding the Fourth Proportional to 259,178.86, 357,786.90 and 182,760.22

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Solution

The fourth proportional to 259,178.86, 357,786.90 and 182,760.22 is: 252,293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,178.86 : 357,786.90 = 182,760.22 : x
  2. Step 2: Convert to fraction form
    259,178.86/357,786.90 = 182,760.22/x
  3. Step 3: Cross multiply
    259,178.86x = 357,786.90 × 182,760.22
  4. Step 4: Simplify right side
    259,178.86x = 65,389,212,557.12
  5. Step 5: Solve for x
    x = 65,389,212,557.12/259,178.86
  6. Step 6: Final answer
    x = 252,293.77

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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.