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Finding the Fourth Proportional to 205,137.87, 307,813.38 and 155,203.17

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Solution

The fourth proportional to 205,137.87, 307,813.38 and 155,203.17 is: 232,885.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,137.87 : 307,813.38 = 155,203.17 : x
  2. Step 2: Convert to fraction form
    205,137.87/307,813.38 = 155,203.17/x
  3. Step 3: Cross multiply
    205,137.87x = 307,813.38 × 155,203.17
  4. Step 4: Simplify right side
    205,137.87x = 47,773,612,344.41
  5. Step 5: Solve for x
    x = 47,773,612,344.41/205,137.87
  6. Step 6: Final answer
    x = 232,885.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.