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Finding the Fourth Proportional to 234,537.26, 323,677.62 and 142,692.38

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Solution

The fourth proportional to 234,537.26, 323,677.62 and 142,692.38 is: 196,925.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,537.26 : 323,677.62 = 142,692.38 : x
  2. Step 2: Convert to fraction form
    234,537.26/323,677.62 = 142,692.38/x
  3. Step 3: Cross multiply
    234,537.26x = 323,677.62 × 142,692.38
  4. Step 4: Simplify right side
    234,537.26x = 46,186,329,237.07
  5. Step 5: Solve for x
    x = 46,186,329,237.07/234,537.26
  6. Step 6: Final answer
    x = 196,925.34

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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.