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Finding the Fourth Proportional to 214,205.80, 321,308.70 and 164,439.40

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Solution

The fourth proportional to 214,205.80, 321,308.70 and 164,439.40 is: 246,659.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,205.80 : 321,308.70 = 164,439.40 : x
  2. Step 2: Convert to fraction form
    214,205.80/321,308.70 = 164,439.40/x
  3. Step 3: Cross multiply
    214,205.80x = 321,308.70 × 164,439.40
  4. Step 4: Simplify right side
    214,205.80x = 52,835,809,842.78
  5. Step 5: Solve for x
    x = 52,835,809,842.78/214,205.80
  6. Step 6: Final answer
    x = 246,659.10

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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.