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Finding the Fourth Proportional to 159,193.96, 219,708.84 and 102,769.36

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Solution

The fourth proportional to 159,193.96, 219,708.84 and 102,769.36 is: 141,835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,193.96 : 219,708.84 = 102,769.36 : x
  2. Step 2: Convert to fraction form
    159,193.96/219,708.84 = 102,769.36/x
  3. Step 3: Cross multiply
    159,193.96x = 219,708.84 × 102,769.36
  4. Step 4: Simplify right side
    159,193.96x = 22,579,336,873.14
  5. Step 5: Solve for x
    x = 22,579,336,873.14/159,193.96
  6. Step 6: Final answer
    x = 141,835.39

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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.