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Finding the Fourth Proportional to 263,846.32, 364,114.92 and 150,666.64

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Solution

The fourth proportional to 263,846.32, 364,114.92 and 150,666.64 is: 207,923.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,846.32 : 364,114.92 = 150,666.64 : x
  2. Step 2: Convert to fraction form
    263,846.32/364,114.92 = 150,666.64/x
  3. Step 3: Cross multiply
    263,846.32x = 364,114.92 × 150,666.64
  4. Step 4: Simplify right side
    263,846.32x = 54,859,971,570.27
  5. Step 5: Solve for x
    x = 54,859,971,570.27/263,846.32
  6. Step 6: Final answer
    x = 207,923.96

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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.