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Finding the Fourth Proportional to 155,184.49, 214,179.56 and 145,054

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Solution

The fourth proportional to 155,184.49, 214,179.56 and 145,054 is: 200,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,184.49 : 214,179.56 = 145,054 : x
  2. Step 2: Convert to fraction form
    155,184.49/214,179.56 = 145,054/x
  3. Step 3: Cross multiply
    155,184.49x = 214,179.56 × 145,054
  4. Step 4: Simplify right side
    155,184.49x = 31,067,601,896.24
  5. Step 5: Solve for x
    x = 31,067,601,896.24/155,184.49
  6. Step 6: Final answer
    x = 200,197.85

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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.