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Finding the Fourth Proportional to 234,535.26, 323,674.85 and 142,690.38

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Solution

The fourth proportional to 234,535.26, 323,674.85 and 142,690.38 is: 196,922.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,535.26 : 323,674.85 = 142,690.38 : x
  2. Step 2: Convert to fraction form
    234,535.26/323,674.85 = 142,690.38/x
  3. Step 3: Cross multiply
    234,535.26x = 323,674.85 × 142,690.38
  4. Step 4: Simplify right side
    234,535.26x = 46,185,287,699.67
  5. Step 5: Solve for x
    x = 46,185,287,699.67/234,535.26
  6. Step 6: Final answer
    x = 196,922.58

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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.