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Finding the Fourth Proportional to 214,490.40, 321,638.40 and 81,326.40

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Solution

The fourth proportional to 214,490.40, 321,638.40 and 81,326.40 is: 121,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,490.40 : 321,638.40 = 81,326.40 : x
  2. Step 2: Convert to fraction form
    214,490.40/321,638.40 = 81,326.40/x
  3. Step 3: Cross multiply
    214,490.40x = 321,638.40 × 81,326.40
  4. Step 4: Simplify right side
    214,490.40x = 26,157,693,173.76
  5. Step 5: Solve for x
    x = 26,157,693,173.76/214,490.40
  6. Step 6: Final answer
    x = 121,952.75

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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.