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Finding the Fourth Proportional to 263,954.92, 364,277.12 and 150,775.24

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Solution

The fourth proportional to 263,954.92, 364,277.12 and 150,775.24 is: 208,080.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,954.92 : 364,277.12 = 150,775.24 : x
  2. Step 2: Convert to fraction form
    263,954.92/364,277.12 = 150,775.24/x
  3. Step 3: Cross multiply
    263,954.92x = 364,277.12 × 150,775.24
  4. Step 4: Simplify right side
    263,954.92x = 54,923,970,194.51
  5. Step 5: Solve for x
    x = 54,923,970,194.51/263,954.92
  6. Step 6: Final answer
    x = 208,080.87

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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.