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Finding the Fourth Proportional to 214,658.88, 296,263.20 and 205,208.64

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Solution

The fourth proportional to 214,658.88, 296,263.20 and 205,208.64 is: 283,220.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,658.88 : 296,263.20 = 205,208.64 : x
  2. Step 2: Convert to fraction form
    214,658.88/296,263.20 = 205,208.64/x
  3. Step 3: Cross multiply
    214,658.88x = 296,263.20 × 205,208.64
  4. Step 4: Simplify right side
    214,658.88x = 60,795,768,354.05
  5. Step 5: Solve for x
    x = 60,795,768,354.05/214,658.88
  6. Step 6: Final answer
    x = 283,220.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.