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Finding the Fourth Proportional to 234,287.70, 323,317.16 and 126,857.80

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Solution

The fourth proportional to 234,287.70, 323,317.16 and 126,857.80 is: 175,063.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,287.70 : 323,317.16 = 126,857.80 : x
  2. Step 2: Convert to fraction form
    234,287.70/323,317.16 = 126,857.80/x
  3. Step 3: Cross multiply
    234,287.70x = 323,317.16 × 126,857.80
  4. Step 4: Simplify right side
    234,287.70x = 41,015,303,619.85
  5. Step 5: Solve for x
    x = 41,015,303,619.85/234,287.70
  6. Step 6: Final answer
    x = 175,063.84

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1.5x scale

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.