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Finding the Fourth Proportional to 214,489.44, 296,030.84 and 119,026.89

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Solution

The fourth proportional to 214,489.44, 296,030.84 and 119,026.89 is: 164,276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,489.44 : 296,030.84 = 119,026.89 : x
  2. Step 2: Convert to fraction form
    214,489.44/296,030.84 = 119,026.89/x
  3. Step 3: Cross multiply
    214,489.44x = 296,030.84 × 119,026.89
  4. Step 4: Simplify right side
    214,489.44x = 35,235,629,634.15
  5. Step 5: Solve for x
    x = 35,235,629,634.15/214,489.44
  6. Step 6: Final answer
    x = 164,276.76

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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.