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Finding the Fourth Proportional to 159,682.76, 239,458.24 and 54,510.20

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Solution

The fourth proportional to 159,682.76, 239,458.24 and 54,510.20 is: 81,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,682.76 : 239,458.24 = 54,510.20 : x
  2. Step 2: Convert to fraction form
    159,682.76/239,458.24 = 54,510.20/x
  3. Step 3: Cross multiply
    159,682.76x = 239,458.24 × 54,510.20
  4. Step 4: Simplify right side
    159,682.76x = 13,052,916,554.05
  5. Step 5: Solve for x
    x = 13,052,916,554.05/159,682.76
  6. Step 6: Final answer
    x = 81,742.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.