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Finding the Fourth Proportional to 264,008.48, 364,309.20 and 150,809.12

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Solution

The fourth proportional to 264,008.48, 364,309.20 and 150,809.12 is: 208,103.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,008.48 : 364,309.20 = 150,809.12 : x
  2. Step 2: Convert to fraction form
    264,008.48/364,309.20 = 150,809.12/x
  3. Step 3: Cross multiply
    264,008.48x = 364,309.20 × 150,809.12
  4. Step 4: Simplify right side
    264,008.48x = 54,941,149,859.90
  5. Step 5: Solve for x
    x = 54,941,149,859.90/264,008.48
  6. Step 6: Final answer
    x = 208,103.73

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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.