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Finding the Fourth Proportional to 159,090.32, 219,513.14 and 89,241.84

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Solution

The fourth proportional to 159,090.32, 219,513.14 and 89,241.84 is: 123,136.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,090.32 : 219,513.14 = 89,241.84 : x
  2. Step 2: Convert to fraction form
    159,090.32/219,513.14 = 89,241.84/x
  3. Step 3: Cross multiply
    159,090.32x = 219,513.14 × 89,241.84
  4. Step 4: Simplify right side
    159,090.32x = 19,589,756,071.57
  5. Step 5: Solve for x
    x = 19,589,756,071.57/159,090.32
  6. Step 6: Final answer
    x = 123,136.07

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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.