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Finding the Fourth Proportional to 263,396.49, 363,487.14 and 142,537.77

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Solution

The fourth proportional to 263,396.49, 363,487.14 and 142,537.77 is: 196,702.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,396.49 : 363,487.14 = 142,537.77 : x
  2. Step 2: Convert to fraction form
    263,396.49/363,487.14 = 142,537.77/x
  3. Step 3: Cross multiply
    263,396.49x = 363,487.14 × 142,537.77
  4. Step 4: Simplify right side
    263,396.49x = 51,810,646,359.28
  5. Step 5: Solve for x
    x = 51,810,646,359.28/263,396.49
  6. Step 6: Final answer
    x = 196,702.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.