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Finding the Fourth Proportional to 159,782.16, 239,701.44 and 54,576.48

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Solution

The fourth proportional to 159,782.16, 239,701.44 and 54,576.48 is: 81,874.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,782.16 : 239,701.44 = 54,576.48 : x
  2. Step 2: Convert to fraction form
    159,782.16/239,701.44 = 54,576.48/x
  3. Step 3: Cross multiply
    159,782.16x = 239,701.44 × 54,576.48
  4. Step 4: Simplify right side
    159,782.16x = 13,082,060,846.13
  5. Step 5: Solve for x
    x = 13,082,060,846.13/159,782.16
  6. Step 6: Final answer
    x = 81,874.35

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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.