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Finding the Fourth Proportional to 214,673.80, 296,236.56 and 119,174.80

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Solution

The fourth proportional to 214,673.80, 296,236.56 and 119,174.80 is: 164,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,673.80 : 296,236.56 = 119,174.80 : x
  2. Step 2: Convert to fraction form
    214,673.80/296,236.56 = 119,174.80/x
  3. Step 3: Cross multiply
    214,673.80x = 296,236.56 × 119,174.80
  4. Step 4: Simplify right side
    214,673.80x = 35,303,932,790.69
  5. Step 5: Solve for x
    x = 35,303,932,790.69/214,673.80
  6. Step 6: Final answer
    x = 164,453.85

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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.