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Finding the Fourth Proportional to 159,690.18, 239,616.54 and 106,418.64

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Solution

The fourth proportional to 159,690.18, 239,616.54 and 106,418.64 is: 159,682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,690.18 : 239,616.54 = 106,418.64 : x
  2. Step 2: Convert to fraction form
    159,690.18/239,616.54 = 106,418.64/x
  3. Step 3: Cross multiply
    159,690.18x = 239,616.54 × 106,418.64
  4. Step 4: Simplify right side
    159,690.18x = 25,499,666,308.31
  5. Step 5: Solve for x
    x = 25,499,666,308.31/159,690.18
  6. Step 6: Final answer
    x = 159,682.12

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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.