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Finding the Fourth Proportional to 271,933.34, 407,026.58 and 145,256.84

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Solution

The fourth proportional to 271,933.34, 407,026.58 and 145,256.84 is: 217,418.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,933.34 : 407,026.58 = 145,256.84 : x
  2. Step 2: Convert to fraction form
    271,933.34/407,026.58 = 145,256.84/x
  3. Step 3: Cross multiply
    271,933.34x = 407,026.58 × 145,256.84
  4. Step 4: Simplify right side
    271,933.34x = 59,123,394,806.81
  5. Step 5: Solve for x
    x = 59,123,394,806.81/271,933.34
  6. Step 6: Final answer
    x = 217,418.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.