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Finding the Fourth Proportional to 214,491.97, 296,034.24 and 119,029.42

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Solution

The fourth proportional to 214,491.97, 296,034.24 and 119,029.42 is: 164,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,491.97 : 296,034.24 = 119,029.42 : x
  2. Step 2: Convert to fraction form
    214,491.97/296,034.24 = 119,029.42/x
  3. Step 3: Cross multiply
    214,491.97x = 296,034.24 × 119,029.42
  4. Step 4: Simplify right side
    214,491.97x = 35,236,783,887.34
  5. Step 5: Solve for x
    x = 35,236,783,887.34/214,491.97
  6. Step 6: Final answer
    x = 164,280.20

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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.