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Finding the Fourth Proportional to 229,954.70, 317,375.43 and 134,443.10

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Solution

The fourth proportional to 229,954.70, 317,375.43 and 134,443.10 is: 185,553.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,954.70 : 317,375.43 = 134,443.10 : x
  2. Step 2: Convert to fraction form
    229,954.70/317,375.43 = 134,443.10/x
  3. Step 3: Cross multiply
    229,954.70x = 317,375.43 × 134,443.10
  4. Step 4: Simplify right side
    229,954.70x = 42,668,936,673.03
  5. Step 5: Solve for x
    x = 42,668,936,673.03/229,954.70
  6. Step 6: Final answer
    x = 185,553.66

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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.