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Finding the Fourth Proportional to 161,051.84, 222,257.10 and 89,433.06

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Solution

The fourth proportional to 161,051.84, 222,257.10 and 89,433.06 is: 123,420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,051.84 : 222,257.10 = 89,433.06 : x
  2. Step 2: Convert to fraction form
    161,051.84/222,257.10 = 89,433.06/x
  3. Step 3: Cross multiply
    161,051.84x = 222,257.10 × 89,433.06
  4. Step 4: Simplify right side
    161,051.84x = 19,877,132,559.73
  5. Step 5: Solve for x
    x = 19,877,132,559.73/161,051.84
  6. Step 6: Final answer
    x = 123,420.71

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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.