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Finding the Fourth Proportional to 271,452.41, 407,178.62 and 147,036.41

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Solution

The fourth proportional to 271,452.41, 407,178.62 and 147,036.41 is: 220,554.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,452.41 : 407,178.62 = 147,036.41 : x
  2. Step 2: Convert to fraction form
    271,452.41/407,178.62 = 147,036.41/x
  3. Step 3: Cross multiply
    271,452.41x = 407,178.62 × 147,036.41
  4. Step 4: Simplify right side
    271,452.41x = 59,870,082,513.55
  5. Step 5: Solve for x
    x = 59,870,082,513.55/271,452.41
  6. Step 6: Final answer
    x = 220,554.62

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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.