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Finding the Fourth Proportional to 214,612, 296,164.56 and 119,134.12

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Solution

The fourth proportional to 214,612, 296,164.56 and 119,134.12 is: 164,405.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,612 : 296,164.56 = 119,134.12 : x
  2. Step 2: Convert to fraction form
    214,612/296,164.56 = 119,134.12/x
  3. Step 3: Cross multiply
    214,612x = 296,164.56 × 119,134.12
  4. Step 4: Simplify right side
    214,612x = 35,283,304,230.79
  5. Step 5: Solve for x
    x = 35,283,304,230.79/214,612
  6. Step 6: Final answer
    x = 164,405.09

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1.5x scale

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.