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Finding the Fourth Proportional to 214,324.40, 321,389.40 and 81,160.40

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Solution

The fourth proportional to 214,324.40, 321,389.40 and 81,160.40 is: 121,703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,324.40 : 321,389.40 = 81,160.40 : x
  2. Step 2: Convert to fraction form
    214,324.40/321,389.40 = 81,160.40/x
  3. Step 3: Cross multiply
    214,324.40x = 321,389.40 × 81,160.40
  4. Step 4: Simplify right side
    214,324.40x = 26,084,092,259.76
  5. Step 5: Solve for x
    x = 26,084,092,259.76/214,324.40
  6. Step 6: Final answer
    x = 121,703.79

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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.