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Finding the Fourth Proportional to 180,940.14, 271,834.36 and 170,715.38

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Solution

The fourth proportional to 180,940.14, 271,834.36 and 170,715.38 is: 256,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,940.14 : 271,834.36 = 170,715.38 : x
  2. Step 2: Convert to fraction form
    180,940.14/271,834.36 = 170,715.38/x
  3. Step 3: Cross multiply
    180,940.14x = 271,834.36 × 170,715.38
  4. Step 4: Simplify right side
    180,940.14x = 46,406,304,278.50
  5. Step 5: Solve for x
    x = 46,406,304,278.50/180,940.14
  6. Step 6: Final answer
    x = 256,473.24

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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.