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Finding the Fourth Proportional to 214,097.40, 321,146.10 and 200,975.40

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Solution

The fourth proportional to 214,097.40, 321,146.10 and 200,975.40 is: 301,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,097.40 : 321,146.10 = 200,975.40 : x
  2. Step 2: Convert to fraction form
    214,097.40/321,146.10 = 200,975.40/x
  3. Step 3: Cross multiply
    214,097.40x = 321,146.10 × 200,975.40
  4. Step 4: Simplify right side
    214,097.40x = 64,542,465,905.94
  5. Step 5: Solve for x
    x = 64,542,465,905.94/214,097.40
  6. Step 6: Final answer
    x = 301,463.10

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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.