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Finding the Fourth Proportional to 234,507.38, 352,231.77 and 139,922.13

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Solution

The fourth proportional to 234,507.38, 352,231.77 and 139,922.13 is: 210,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,507.38 : 352,231.77 = 139,922.13 : x
  2. Step 2: Convert to fraction form
    234,507.38/352,231.77 = 139,922.13/x
  3. Step 3: Cross multiply
    234,507.38x = 352,231.77 × 139,922.13
  4. Step 4: Simplify right side
    234,507.38x = 49,285,020,177.05
  5. Step 5: Solve for x
    x = 49,285,020,177.05/234,507.38
  6. Step 6: Final answer
    x = 210,164.05

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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.