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Finding the Fourth Proportional to 214,205.40, 321,308.10 and 109,229.40

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Solution

The fourth proportional to 214,205.40, 321,308.10 and 109,229.40 is: 163,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,205.40 : 321,308.10 = 109,229.40 : x
  2. Step 2: Convert to fraction form
    214,205.40/321,308.10 = 109,229.40/x
  3. Step 3: Cross multiply
    214,205.40x = 321,308.10 × 109,229.40
  4. Step 4: Simplify right side
    214,205.40x = 35,096,290,978.14
  5. Step 5: Solve for x
    x = 35,096,290,978.14/214,205.40
  6. Step 6: Final answer
    x = 163,844.10

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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.