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Finding the Fourth Proportional to 159,892.94, 239,759.16 and 53,239.32

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Solution

The fourth proportional to 159,892.94, 239,759.16 and 53,239.32 is: 79,832.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,892.94 : 239,759.16 = 53,239.32 : x
  2. Step 2: Convert to fraction form
    159,892.94/239,759.16 = 53,239.32/x
  3. Step 3: Cross multiply
    159,892.94x = 239,759.16 × 53,239.32
  4. Step 4: Simplify right side
    159,892.94x = 12,764,614,642.17
  5. Step 5: Solve for x
    x = 12,764,614,642.17/159,892.94
  6. Step 6: Final answer
    x = 79,832.26

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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.