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Finding the Fourth Proportional to 214,564.40, 321,992.40 and 119,794.40

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Solution

The fourth proportional to 214,564.40, 321,992.40 and 119,794.40 is: 179,773.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,564.40 : 321,992.40 = 119,794.40 : x
  2. Step 2: Convert to fraction form
    214,564.40/321,992.40 = 119,794.40/x
  3. Step 3: Cross multiply
    214,564.40x = 321,992.40 × 119,794.40
  4. Step 4: Simplify right side
    214,564.40x = 38,572,886,362.56
  5. Step 5: Solve for x
    x = 38,572,886,362.56/214,564.40
  6. Step 6: Final answer
    x = 179,773.00

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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.