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Finding the Fourth Proportional to 214,793.40, 296,414.84 and 119,308.98

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Solution

The fourth proportional to 214,793.40, 296,414.84 and 119,308.98 is: 164,646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,793.40 : 296,414.84 = 119,308.98 : x
  2. Step 2: Convert to fraction form
    214,793.40/296,414.84 = 119,308.98/x
  3. Step 3: Cross multiply
    214,793.40x = 296,414.84 × 119,308.98
  4. Step 4: Simplify right side
    214,793.40x = 35,364,952,217.26
  5. Step 5: Solve for x
    x = 35,364,952,217.26/214,793.40
  6. Step 6: Final answer
    x = 164,646.36

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