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Finding the Fourth Proportional to 214,068.40, 321,102.60 and 200,946.40

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Solution

The fourth proportional to 214,068.40, 321,102.60 and 200,946.40 is: 301,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,068.40 : 321,102.60 = 200,946.40 : x
  2. Step 2: Convert to fraction form
    214,068.40/321,102.60 = 200,946.40/x
  3. Step 3: Cross multiply
    214,068.40x = 321,102.60 × 200,946.40
  4. Step 4: Simplify right side
    214,068.40x = 64,524,411,500.64
  5. Step 5: Solve for x
    x = 64,524,411,500.64/214,068.40
  6. Step 6: Final answer
    x = 301,419.60

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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.