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Finding the Fourth Proportional to 159,696.36, 220,325.31 and 102,367.29

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Solution

The fourth proportional to 159,696.36, 220,325.31 and 102,367.29 is: 141,231.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,696.36 : 220,325.31 = 102,367.29 : x
  2. Step 2: Convert to fraction form
    159,696.36/220,325.31 = 102,367.29/x
  3. Step 3: Cross multiply
    159,696.36x = 220,325.31 × 102,367.29
  4. Step 4: Simplify right side
    159,696.36x = 22,554,104,903.11
  5. Step 5: Solve for x
    x = 22,554,104,903.11/159,696.36
  6. Step 6: Final answer
    x = 141,231.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.