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Finding the Fourth Proportional to 223,811.34, 335,717.04 and 214,092.90

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Solution

The fourth proportional to 223,811.34, 335,717.04 and 214,092.90 is: 321,139.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,811.34 : 335,717.04 = 214,092.90 : x
  2. Step 2: Convert to fraction form
    223,811.34/335,717.04 = 214,092.90/x
  3. Step 3: Cross multiply
    223,811.34x = 335,717.04 × 214,092.90
  4. Step 4: Simplify right side
    223,811.34x = 71,874,634,673.02
  5. Step 5: Solve for x
    x = 71,874,634,673.02/223,811.34
  6. Step 6: Final answer
    x = 321,139.38

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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.