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Finding the Fourth Proportional to 214,225.38, 321,021.30 and 202,243.35

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Solution

The fourth proportional to 214,225.38, 321,021.30 and 202,243.35 is: 303,065.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,225.38 : 321,021.30 = 202,243.35 : x
  2. Step 2: Convert to fraction form
    214,225.38/321,021.30 = 202,243.35/x
  3. Step 3: Cross multiply
    214,225.38x = 321,021.30 × 202,243.35
  4. Step 4: Simplify right side
    214,225.38x = 64,924,423,133.36
  5. Step 5: Solve for x
    x = 64,924,423,133.36/214,225.38
  6. Step 6: Final answer
    x = 303,065.97

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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.