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Finding the Fourth Proportional to 214,225.88, 321,022.05 and 202,243.85

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Solution

The fourth proportional to 214,225.88, 321,022.05 and 202,243.85 is: 303,066.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,225.88 : 321,022.05 = 202,243.85 : x
  2. Step 2: Convert to fraction form
    214,225.88/321,022.05 = 202,243.85/x
  3. Step 3: Cross multiply
    214,225.88x = 321,022.05 × 202,243.85
  4. Step 4: Simplify right side
    214,225.88x = 64,924,735,326.89
  5. Step 5: Solve for x
    x = 64,924,735,326.89/214,225.88
  6. Step 6: Final answer
    x = 303,066.72

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