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Finding the Fourth Proportional to 214,638.40, 322,103.40 and 119,868.40

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Solution

The fourth proportional to 214,638.40, 322,103.40 and 119,868.40 is: 179,884.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,638.40 : 322,103.40 = 119,868.40 : x
  2. Step 2: Convert to fraction form
    214,638.40/322,103.40 = 119,868.40/x
  3. Step 3: Cross multiply
    214,638.40x = 322,103.40 × 119,868.40
  4. Step 4: Simplify right side
    214,638.40x = 38,610,019,192.56
  5. Step 5: Solve for x
    x = 38,610,019,192.56/214,638.40
  6. Step 6: Final answer
    x = 179,884.02

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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.