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Finding the Fourth Proportional to 229,908.33, 317,093.76 and 149,361.81

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Solution

The fourth proportional to 229,908.33, 317,093.76 and 149,361.81 is: 206,002.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,908.33 : 317,093.76 = 149,361.81 : x
  2. Step 2: Convert to fraction form
    229,908.33/317,093.76 = 149,361.81/x
  3. Step 3: Cross multiply
    229,908.33x = 317,093.76 × 149,361.81
  4. Step 4: Simplify right side
    229,908.33x = 47,361,697,723.64
  5. Step 5: Solve for x
    x = 47,361,697,723.64/229,908.33
  6. Step 6: Final answer
    x = 206,002.53

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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.