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Finding the Fourth Proportional to 214,938.70, 296,622.60 and 119,449.42

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Solution

The fourth proportional to 214,938.70, 296,622.60 and 119,449.42 is: 164,844.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,938.70 : 296,622.60 = 119,449.42 : x
  2. Step 2: Convert to fraction form
    214,938.70/296,622.60 = 119,449.42/x
  3. Step 3: Cross multiply
    214,938.70x = 296,622.60 × 119,449.42
  4. Step 4: Simplify right side
    214,938.70x = 35,431,397,528.89
  5. Step 5: Solve for x
    x = 35,431,397,528.89/214,938.70
  6. Step 6: Final answer
    x = 164,844.20

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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.