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Finding the Fourth Proportional to 159,135.63, 219,494.77 and 135,096.85

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Solution

The fourth proportional to 159,135.63, 219,494.77 and 135,096.85 is: 186,338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,135.63 : 219,494.77 = 135,096.85 : x
  2. Step 2: Convert to fraction form
    159,135.63/219,494.77 = 135,096.85/x
  3. Step 3: Cross multiply
    159,135.63x = 219,494.77 × 135,096.85
  4. Step 4: Simplify right side
    159,135.63x = 29,653,052,018.47
  5. Step 5: Solve for x
    x = 29,653,052,018.47/159,135.63
  6. Step 6: Final answer
    x = 186,338.23

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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.