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Finding the Fourth Proportional to 147,021.84, 202,889.16 and 81,609.90

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Solution

The fourth proportional to 147,021.84, 202,889.16 and 81,609.90 is: 112,621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,021.84 : 202,889.16 = 81,609.90 : x
  2. Step 2: Convert to fraction form
    147,021.84/202,889.16 = 81,609.90/x
  3. Step 3: Cross multiply
    147,021.84x = 202,889.16 × 81,609.90
  4. Step 4: Simplify right side
    147,021.84x = 16,557,764,058.68
  5. Step 5: Solve for x
    x = 16,557,764,058.68/147,021.84
  6. Step 6: Final answer
    x = 112,621.12

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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.