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Finding the Fourth Proportional to 263,655.52, 363,909.74 and 150,543.88

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Solution

The fourth proportional to 263,655.52, 363,909.74 and 150,543.88 is: 207,787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,655.52 : 363,909.74 = 150,543.88 : x
  2. Step 2: Convert to fraction form
    263,655.52/363,909.74 = 150,543.88/x
  3. Step 3: Cross multiply
    263,655.52x = 363,909.74 × 150,543.88
  4. Step 4: Simplify right side
    263,655.52x = 54,784,384,229.39
  5. Step 5: Solve for x
    x = 54,784,384,229.39/263,655.52
  6. Step 6: Final answer
    x = 207,787.74

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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.