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Finding the Fourth Proportional to 89,202.88, 123,098.13 and 55,202.32

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Solution

The fourth proportional to 89,202.88, 123,098.13 and 55,202.32 is: 76,178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,202.88 : 123,098.13 = 55,202.32 : x
  2. Step 2: Convert to fraction form
    89,202.88/123,098.13 = 55,202.32/x
  3. Step 3: Cross multiply
    89,202.88x = 123,098.13 × 55,202.32
  4. Step 4: Simplify right side
    89,202.88x = 6,795,302,363.66
  5. Step 5: Solve for x
    x = 6,795,302,363.66/89,202.88
  6. Step 6: Final answer
    x = 76,178.06

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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.