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Finding the Fourth Proportional to 205,168.90, 307,860 and 155,234.30

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Solution

The fourth proportional to 205,168.90, 307,860 and 155,234.30 is: 232,932.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,168.90 : 307,860 = 155,234.30 : x
  2. Step 2: Convert to fraction form
    205,168.90/307,860 = 155,234.30/x
  3. Step 3: Cross multiply
    205,168.90x = 307,860 × 155,234.30
  4. Step 4: Simplify right side
    205,168.90x = 47,790,431,598
  5. Step 5: Solve for x
    x = 47,790,431,598/205,168.90
  6. Step 6: Final answer
    x = 232,932.14

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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.