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Finding the Fourth Proportional to 422,573.80, 633,726.82 and 138,198.64

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Solution

The fourth proportional to 422,573.80, 633,726.82 and 138,198.64 is: 207,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,573.80 : 633,726.82 = 138,198.64 : x
  2. Step 2: Convert to fraction form
    422,573.80/633,726.82 = 138,198.64/x
  3. Step 3: Cross multiply
    422,573.80x = 633,726.82 × 138,198.64
  4. Step 4: Simplify right side
    422,573.80x = 87,580,184,655.52
  5. Step 5: Solve for x
    x = 87,580,184,655.52/422,573.80
  6. Step 6: Final answer
    x = 207,254.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.