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Finding the Fourth Proportional to 259,175.86, 357,782.76 and 182,757.22

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Solution

The fourth proportional to 259,175.86, 357,782.76 and 182,757.22 is: 252,289.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,175.86 : 357,782.76 = 182,757.22 : x
  2. Step 2: Convert to fraction form
    259,175.86/357,782.76 = 182,757.22/x
  3. Step 3: Cross multiply
    259,175.86x = 357,782.76 × 182,757.22
  4. Step 4: Simplify right side
    259,175.86x = 65,387,382,581.53
  5. Step 5: Solve for x
    x = 65,387,382,581.53/259,175.86
  6. Step 6: Final answer
    x = 252,289.63

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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.