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Finding the Fourth Proportional to 214,675.20, 321,737.40 and 119,905.20

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Solution

The fourth proportional to 214,675.20, 321,737.40 and 119,905.20 is: 179,703.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,675.20 : 321,737.40 = 119,905.20 : x
  2. Step 2: Convert to fraction form
    214,675.20/321,737.40 = 119,905.20/x
  3. Step 3: Cross multiply
    214,675.20x = 321,737.40 × 119,905.20
  4. Step 4: Simplify right side
    214,675.20x = 38,577,987,294.48
  5. Step 5: Solve for x
    x = 38,577,987,294.48/214,675.20
  6. Step 6: Final answer
    x = 179,703.98

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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.