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Finding the Fourth Proportional to 213,434.82, 320,197.98 and 63,686.88

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Solution

The fourth proportional to 213,434.82, 320,197.98 and 63,686.88 is: 95,543.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,434.82 : 320,197.98 = 63,686.88 : x
  2. Step 2: Convert to fraction form
    213,434.82/320,197.98 = 63,686.88/x
  3. Step 3: Cross multiply
    213,434.82x = 320,197.98 × 63,686.88
  4. Step 4: Simplify right side
    213,434.82x = 20,392,410,328.50
  5. Step 5: Solve for x
    x = 20,392,410,328.50/213,434.82
  6. Step 6: Final answer
    x = 95,543.97

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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.