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Finding the Fourth Proportional to 214,523.84, 296,049.57 and 119,039.42

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Solution

The fourth proportional to 214,523.84, 296,049.57 and 119,039.42 is: 164,278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,523.84 : 296,049.57 = 119,039.42 : x
  2. Step 2: Convert to fraction form
    214,523.84/296,049.57 = 119,039.42/x
  3. Step 3: Cross multiply
    214,523.84x = 296,049.57 × 119,039.42
  4. Step 4: Simplify right side
    214,523.84x = 35,241,567,028.60
  5. Step 5: Solve for x
    x = 35,241,567,028.60/214,523.84
  6. Step 6: Final answer
    x = 164,278.10

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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.