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Finding the Fourth Proportional to 214,527.44, 296,033.64 and 119,028.08

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Solution

The fourth proportional to 214,527.44, 296,033.64 and 119,028.08 is: 164,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,527.44 : 296,033.64 = 119,028.08 : x
  2. Step 2: Convert to fraction form
    214,527.44/296,033.64 = 119,028.08/x
  3. Step 3: Cross multiply
    214,527.44x = 296,033.64 × 119,028.08
  4. Step 4: Simplify right side
    214,527.44x = 35,236,315,784.61
  5. Step 5: Solve for x
    x = 35,236,315,784.61/214,527.44
  6. Step 6: Final answer
    x = 164,250.86

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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.