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Finding the Fourth Proportional to 214,793.88, 296,415.57 and 119,309.46

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Solution

The fourth proportional to 214,793.88, 296,415.57 and 119,309.46 is: 164,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,793.88 : 296,415.57 = 119,309.46 : x
  2. Step 2: Convert to fraction form
    214,793.88/296,415.57 = 119,309.46/x
  3. Step 3: Cross multiply
    214,793.88x = 296,415.57 × 119,309.46
  4. Step 4: Simplify right side
    214,793.88x = 35,365,181,592.29
  5. Step 5: Solve for x
    x = 35,365,181,592.29/214,793.88
  6. Step 6: Final answer
    x = 164,647.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.