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Finding the Fourth Proportional to 259,175.88, 357,782.76 and 182,757.24

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Solution

The fourth proportional to 259,175.88, 357,782.76 and 182,757.24 is: 252,289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,175.88 : 357,782.76 = 182,757.24 : x
  2. Step 2: Convert to fraction form
    259,175.88/357,782.76 = 182,757.24/x
  3. Step 3: Cross multiply
    259,175.88x = 357,782.76 × 182,757.24
  4. Step 4: Simplify right side
    259,175.88x = 65,387,389,737.18
  5. Step 5: Solve for x
    x = 65,387,389,737.18/259,175.88
  6. Step 6: Final answer
    x = 252,289.64

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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.