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Finding the Fourth Proportional to 264,468.20, 364,965.70 and 145,236.20

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Solution

The fourth proportional to 264,468.20, 364,965.70 and 145,236.20 is: 200,425.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,468.20 : 364,965.70 = 145,236.20 : x
  2. Step 2: Convert to fraction form
    264,468.20/364,965.70 = 145,236.20/x
  3. Step 3: Cross multiply
    264,468.20x = 364,965.70 × 145,236.20
  4. Step 4: Simplify right side
    264,468.20x = 53,006,231,398.34
  5. Step 5: Solve for x
    x = 53,006,231,398.34/264,468.20
  6. Step 6: Final answer
    x = 200,425.73

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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.