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Finding the Fourth Proportional to 214,660.37, 296,216.46 and 119,159.52

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Solution

The fourth proportional to 214,660.37, 296,216.46 and 119,159.52 is: 164,431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,660.37 : 296,216.46 = 119,159.52 : x
  2. Step 2: Convert to fraction form
    214,660.37/296,216.46 = 119,159.52/x
  3. Step 3: Cross multiply
    214,660.37x = 296,216.46 × 119,159.52
  4. Step 4: Simplify right side
    214,660.37x = 35,297,011,189.70
  5. Step 5: Solve for x
    x = 35,297,011,189.70/214,660.37
  6. Step 6: Final answer
    x = 164,431.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.