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Finding the Fourth Proportional to 229,996.14, 317,172.15 and 149,445.42

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Solution

The fourth proportional to 229,996.14, 317,172.15 and 149,445.42 is: 206,090.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,996.14 : 317,172.15 = 149,445.42 : x
  2. Step 2: Convert to fraction form
    229,996.14/317,172.15 = 149,445.42/x
  3. Step 3: Cross multiply
    229,996.14x = 317,172.15 × 149,445.42
  4. Step 4: Simplify right side
    229,996.14x = 47,399,925,169.05
  5. Step 5: Solve for x
    x = 47,399,925,169.05/229,996.14
  6. Step 6: Final answer
    x = 206,090.09

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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.