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Finding the Fourth Proportional to 214,425.69, 321,650.07 and 56,649.84

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Solution

The fourth proportional to 214,425.69, 321,650.07 and 56,649.84 is: 84,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,425.69 : 321,650.07 = 56,649.84 : x
  2. Step 2: Convert to fraction form
    214,425.69/321,650.07 = 56,649.84/x
  3. Step 3: Cross multiply
    214,425.69x = 321,650.07 × 56,649.84
  4. Step 4: Simplify right side
    214,425.69x = 18,221,425,001.49
  5. Step 5: Solve for x
    x = 18,221,425,001.49/214,425.69
  6. Step 6: Final answer
    x = 84,977.81

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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.